58902639991272 has 640 divisors, whose sum is σ = 207360431308800. Its totient is φ = 15175772236800.

The previous prime is 58902639991267. The next prime is 58902639991277. The reversal of 58902639991272 is 27219993620985.

58902639991272 is a `hidden beast` number, since 5 + 8 + 9 + 0 + 263 + 9 + 9 + 91 + 272 = 666.

It is an interprime number because it is at equal distance from previous prime (58902639991267) and next prime (58902639991277).

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

It is a self number, because there is not a number n which added to its sum of digits gives 58902639991272.

It is not an unprimeable number, because it can be changed into a prime (58902639991277) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3126623629 + ... + 3126642467.

It is an arithmetic number, because the mean of its divisors is an integer number (324000673920).

Almost surely, 2^{58902639991272} 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 58902639991272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103680215654400).

58902639991272 is an abundant number, since it is smaller than the sum of its proper divisors (148457791317528).

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

58902639991272 is a wasteful number, since it uses less digits than its factorization.

58902639991272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19379 (or 19366 counting only the distinct ones).

The product of its (nonzero) digits is 264539520, while the sum is 72.

The spelling of 58902639991272 in words is "fifty-eight trillion, nine hundred two billion, six hundred thirty-nine million, nine hundred ninety-one thousand, two hundred seventy-two".