85731266137924 has 243 divisors, whose sum is σ = 185027079902301. Its totient is φ = 34719470311680.

The previous prime is 85731266137889. The next prime is 85731266137939. The reversal of 85731266137924 is 42973166213758.

The square root of 85731266137924 is 9259118.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 66745795436100 + 18985470701824 = 8169810^2 + 4357232^2 .

It is a super-2 number, since 2×85731266137924² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 65795291857 + ... + 65795293159.

Almost surely, 2^{85731266137924} is an apocalyptic number.

85731266137924 is the 9259118-th square number.

It is an amenable number.

85731266137924 is an abundant number, since it is smaller than the sum of its proper divisors (99295813764377).

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

85731266137924 is a wasteful number, since it uses less digits than its factorization.

85731266137924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2704 (or 1352 counting only the distinct ones).

The product of its digits is 91445760, while the sum is 64.

The spelling of 85731266137924 in words is "eighty-five trillion, seven hundred thirty-one billion, two hundred sixty-six million, one hundred thirty-seven thousand, nine hundred twenty-four".