75869132290416 has 80 divisors (see below), whose sum is σ = 221342550565920. Its totient is φ = 24875125332480.

The previous prime is 75869132290381. The next prime is 75869132290439. The reversal of 75869132290416 is 61409223196857.

75869132290416 is a `hidden beast` number, since 7 + 5 + 8 + 69 + 132 + 29 + 0 + 416 = 666.

It is a super-2 number, since 2×75869132290416² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1439506365 + ... + 1439559068.

It is an arithmetic number, because the mean of its divisors is an integer number (2766781882074).

It is a 1-persistent number, because it is pandigital, but 2⋅75869132290416 = 151738264580832 is not.

Almost surely, 2^{75869132290416} is an apocalyptic number.

It is an amenable number.

75869132290416 is an abundant number, since it is smaller than the sum of its proper divisors (145473418275504).

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

75869132290416 is a wasteful number, since it uses less digits than its factorization.

75869132290416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2879065511 (or 2879065499 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 75869132290416 in words is "seventy-five trillion, eight hundred sixty-nine billion, one hundred thirty-two million, two hundred ninety thousand, four hundred sixteen".