58916091985920 has 2736 divisors, whose sum is σ = 249637652828928. Its totient is φ = 13209037701120.

The previous prime is 58916091985811. The next prime is 58916091985921. The reversal of 58916091985920 is 2958919061985.

58916091985920 is a `hidden beast` number, since 5 + 8 + 9 + 1 + 609 + 1 + 9 + 8 + 5 + 9 + 2 + 0 = 666.

It is a super-2 number, since 2×58916091985920² (a number of 28 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58916091985921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1900519096305 + ... + 1900519096335.

Almost surely, 2^{58916091985920} 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 58916091985920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124818826414464).

58916091985920 is an abundant number, since it is smaller than the sum of its proper divisors (190721560843008).

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

58916091985920 is an frugal number, since it uses more digits than its factorization.

58916091985920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 125971200, while the sum is 72.

The spelling of 58916091985920 in words is "fifty-eight trillion, nine hundred sixteen billion, ninety-one million, nine hundred eighty-five thousand, nine hundred twenty".