A trademark allows the trademark owner to use the name in conjunction with a product. It also allows the trademark owner to prevent others from using the name, if it could confuse customers. And owning a trademark allows you to sell it to someone else or license the use for money, if you feel like it.
You can lose a trademark if you are not actively using it for a long time. "Not updating a game" doesn't mean you are not actively using it. For example, you say this game is built for iOS. As long as people can see it and download it, it is in active use.
You can't use the name without permission. You can ask the trademark owner for permission, which you might get if you pay them money.