75212007513564 has 192 divisors, whose sum is σ = 193561411276800. Its totient is φ = 22633617457152.

The previous prime is 75212007513521. The next prime is 75212007513583. The reversal of 75212007513564 is 46531570021257.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 472004697 + ... + 472164015.

It is an arithmetic number, because the mean of its divisors is an integer number (1008132350400).

Almost surely, 2^{75212007513564} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75212007513564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96780705638400).

75212007513564 is an abundant number, since it is smaller than the sum of its proper divisors (118349403763236).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

75212007513564 is a wasteful number, since it uses less digits than its factorization.

75212007513564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160372 (or 160370 counting only the distinct ones).

The product of its (nonzero) digits is 1764000, while the sum is 48.

The spelling of 75212007513564 in words is "seventy-five trillion, two hundred twelve billion, seven million, five hundred thirteen thousand, five hundred sixty-four".