5958112864704 has 2688 divisors, whose sum is σ = 23960334827520. Its totient is φ = 1279195545600.

The previous prime is 5958112864667. The next prime is 5958112864727. The reversal of 5958112864704 is 4074682118595.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 57845755917 + ... + 57845756019.

It is an arithmetic number, because the mean of its divisors is an integer number (8913815040).

Almost surely, 2^{5958112864704} 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 5958112864704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11980167413760).

5958112864704 is an abundant number, since it is smaller than the sum of its proper divisors (18002221962816).

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

5958112864704 is a wasteful number, since it uses less digits than its factorization.

5958112864704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 19353600, while the sum is 60.

The spelling of 5958112864704 in words is "five trillion, nine hundred fifty-eight billion, one hundred twelve million, eight hundred sixty-four thousand, seven hundred four".