58970814672 has 640 divisors, whose sum is σ = 215986176000. Its totient is φ = 13390755840.

The previous prime is 58970814659. The next prime is 58970814703. The reversal of 58970814672 is 27641807985.

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 46838779 + ... + 46840037.

It is an arithmetic number, because the mean of its divisors is an integer number (337478400).

Almost surely, 2^58970814672 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 58970814672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107993088000).

58970814672 is an abundant number, since it is smaller than the sum of its proper divisors (157015361328).

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

58970814672 is a wasteful number, since it uses less digits than its factorization.

58970814672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1359 (or 1353 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 57.

The spelling of 58970814672 in words is "fifty-eight billion, nine hundred seventy million, eight hundred fourteen thousand, six hundred seventy-two".