How any eggs in a clutch?

[galipc]

I have had my one and only hen for a couple months now. (I also have a rooster) I started leaving the eggs in the house so she'd sit. I now have 20 eggs in the house and she doesn't seem to be interested in sitting. Are there too many eggs, should I remove some of them?

 

[Rowzy]

Some hens just don't go broody. I believe you could just leave a wooden egg in the coop and she would be just as likely to go broody on that as a clutch of eggs. 20 seems like a lot of eggs though.
What breed is she? Some breeds are less broody then others (like silkies are very broody while RIR aren't as much in general.)

 

[galipc]

She was given to me, previous owner said she is a game hen. So would I be better off collecting the eggs, and giving them back once she shows signs of sitting?