Most games, VoIP and instant messenger apps use ports in that range. For example, MSN uses TCP/UDP 1025 - 65535 for various things.
The best solution for file sharing is a router which supports some kind of bandwidth management. A lot of different routers have various options.
Incidentally, I use ports 443, 80 and 8080 for bittorrent. It helps other people to get around their firewalls to improve my download speeds.
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