I wish I had an immediate answer for your situation.

If your government offers it, I am sure you can find some local help to get this man to pay for his own child. Maybe there is such a thing as an intermediary to assist?

Also, maybe your area offers help with child and sanitary needs. Sometimes if you type shelter, help, and donations into a search engine (like google), as well as the location that you are in, you might at least be able to get deodorant.

Some people seemingly have this issue where they need to make someone suffer for some dark reason that is only their own. This person really needs help. It is too bad that he doesn't realize it.

Keep taking care of yourself and your child. You must be doing good regardless of him. I am glad that you're loving your child the same through it all. You are a good mom. Don't forget that!