Would this be a reason to call cps?

I know someone who does not physically abuse her children, I believe this could be emotional or mental abuse. I usually mind my own business in things like this, but living so close to her I know everything that goes on.
She has five children, all under the age of six and she is also pregnant with her sixth child. The oldest child is pretty much her emotional punching bag. Whenever she is in a bad mood or something goes wrong the child gets screamed at and made fun of. She mocks her while she's crying and makes fun of her hair, clothes, and things she says. Their house is the nastiest I've ever seen! The mother will sit outside all day while her children smash eggs, pour milk all over the floors, over flow the bathtub all the way to their front door. There is poop everywhere from where her two year old daugther takes her pamper off and uses the bathroom where ever.she can. When she finally does go in the house to check on her children, the oldest gets in trouble for the mess and is told to clean it all up or the mother won't cook her dinner! She also makes her give them all a bath, change their pampers and get them dressed. She has her fix their food for them all while she is sitting outside screaming at her occasionally to hurry up or she'll make her go to bed. I've heard the little girl in their begging her siblings to please stop making a mess so she won't get in trouble, and even heard her sobbing and screaming she just can't take it anymore, and this is from a six year old girl. She's never allowed to come outside and play with the other kids and her siblings when her mothers outside because she hasn't cleaned the mess up. The smell from the house when the door is opened is horrible! It's from the food and mildewed clothes from the overflowed bath tub. I feel so sorry for this little girl, I just don't know if this would be cause to call cps or if there isn't physical abuse involved would they be concerned?