Parcheesi is a trademark used for a westernized version of pachisi, an Indian game similar to backgammon. Hindi पचीसी pacīsī is from पच्चीस paccīs "twenty-five". This was formed from two words: Sanskrit पंच paṃca "five" plus विंशतिः viṃśatiḥ "twenty".
paṃca is from Proto-Indo-European *penkʷe "five" and so is related to five and finger.
viṃśatiḥ is from Proto-Indo-European *wih₁-ḱm̥t-íh₁- "twenty". This became Latin vīgintī then Italian venti, which Starbucks uses for their 20 ounce cup.
*wih₁-ḱm̥t-íh₁- is itself a compound formed from *wi- "in half, two" and *dḱm̥t-íh₁-, the suffixed zero-grade form of *deḱm̥ "ten".