58831311627968 has 84 divisors (see below), whose sum is σ = 128684762518200. Its totient is φ = 26665749073920.

The previous prime is 58831311627917. The next prime is 58831311628007. The reversal of 58831311627968 is 86972611313885.

58831311627968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×58831311627968³ (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 58831311627898 and 58831311627907.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8027018 + ... + 13494281.

It is an arithmetic number, because the mean of its divisors is an integer number (1531961458550).

Almost surely, 2^{58831311627968} is an apocalyptic number.

It is an amenable number.

58831311627968 is an abundant number, since it is smaller than the sum of its proper divisors (69853450890232).

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

58831311627968 is a wasteful number, since it uses less digits than its factorization.

58831311627968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21521686 (or 21521665 counting only the distinct ones).

The product of its digits is 104509440, while the sum is 68.

The spelling of 58831311627968 in words is "fifty-eight trillion, eight hundred thirty-one billion, three hundred eleven million, six hundred twenty-seven thousand, nine hundred sixty-eight".