More than you can lift as long as it's not damaged.Have lots of rope. I wonder how much weight a rope can take.
EDIT:
Some caveats. Even 5 mil static rope has a tensile strength of ~5000 lbs. Typical paracord has a tensile strength of 550 lbs. Safe working load is up to you, but without stress risers (eg. proper knots etc) I would be ok with paracord up to 200 lbs. It's not dropping on you if it falls.