Looks like a hubbard squash! It's a winter squash so they can be stored for a while, up to several months, in cold storage. There are also several ways to preserve them.

Hubbard squash makes good puree, so you can bake with it (pies or bread), or use it in other puree-based ways (like soups, sauces, etc).

storage guidelines:
http://extension.psu.edu/food/preserv...

storage guidelines and recipes:
https://extension.illinois.edu/veggie...