58931172972864 has 280 divisors, whose sum is σ = 180414227679840. Its totient is φ = 19006026292224.

The previous prime is 58931172972851. The next prime is 58931172972883. The reversal of 58931172972864 is 46827927113985.

58931172972864 is a `hidden beast` number, since 5 + 8 + 9 + 311 + 7 + 29 + 7 + 286 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 58931172972792 and 58931172972801.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 33475419 + ... + 35191845.

It is an arithmetic number, because the mean of its divisors is an integer number (644336527428).

Almost surely, 2^{58931172972864} is an apocalyptic number.

58931172972864 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58931172972864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90207113839920).

58931172972864 is an abundant number, since it is smaller than the sum of its proper divisors (121483054706976).

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

58931172972864 is a wasteful number, since it uses less digits than its factorization.

58931172972864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1716667 (or 1716648 counting only the distinct ones).

The product of its digits is 365783040, while the sum is 72.

The spelling of 58931172972864 in words is "fifty-eight trillion, nine hundred thirty-one billion, one hundred seventy-two million, nine hundred seventy-two thousand, eight hundred sixty-four".