58712796131616 has 1440 divisors, whose sum is σ = 201787929907200. Its totient is φ = 16141175424000.

The previous prime is 58712796131519. The next prime is 58712796131617. The reversal of 58712796131616 is 61613169721785.

58712796131616 is a `hidden beast` number, since 5 + 8 + 7 + 1 + 2 + 7 + 9 + 6 + 1 + 3 + 1 + 616 = 666.

It is a super-3 number, since 3×58712796131616³ (a number of 42 digits) contains 333 as substring.

Its product of digits (22861440) is a multiple of the sum of its prime factors (504).

It is not an unprimeable number, because it can be changed into a prime (58712796131617) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 177380048571 + ... + 177380048901.

It is an arithmetic number, because the mean of its divisors is an integer number (140130506880).

Almost surely, 2^{58712796131616} 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 58712796131616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100893964953600).

58712796131616 is an abundant number, since it is smaller than the sum of its proper divisors (143075133775584).

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

58712796131616 is a wasteful number, since it uses less digits than its factorization.

58712796131616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504 (or 460 counting only the distinct ones).

The product of its digits is 22861440, while the sum is 63.

The spelling of 58712796131616 in words is "fifty-eight trillion, seven hundred twelve billion, seven hundred ninety-six million, one hundred thirty-one thousand, six hundred sixteen".