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Three-fifths of the Senate can break a filibuster by using the procedure known as "cloture."
What does a Senate cloture mean?
In order to terminate a filibuster, the Senate uses a mechanism called "cloture" that sets a thirty-hour time restriction on additional discussion of a pending measure. Action on Cloture Motions in the Senate, 1917–Present. Rules and regulations.
What does cloture do?
A cloture motion "to put to a close the debate on any measure, motion or other item pending before the Senate, or the unfinished business" requires the support of at least sixteen senators and can be brought up at any time (with a few exceptions).
Cloture rules: what are they?
In that same year, the Senate passed a rule that established the "cloture" process, which allows a two-thirds majority to break a filibuster. In 1975, the Senate changed the threshold for cloture votes from two-thirds of senators present and voting to three-fifths of all senators present and voting, or 60 of the 100 senators.
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