I have no limit, apparently. lol.....
I've got
4 dogs
4 cats
1 iguana
1 tokay gecko
1 pacman frog
3 rats
1 dwarf hamster
1 guinea pig and
4 goldfish.

And guess who takes care of them all?
ME. I feed the dogs every day, cats, feed the frog, gecko, rats, guinea pig, hamster, change all of their cages, make sure all of them have water, pay them all attention. Yeah, it gets overwhelming. But I love 'em all.