58794758400 has 432 divisors, whose sum is σ = 234807721344. Its totient is φ = 12647792640.

The previous prime is 58794758329. The next prime is 58794758401. The reversal of 58794758400 is 485749785.

It is not an unprimeable number, because it can be changed into a prime (58794758401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2271934 + ... + 2297666.

It is an arithmetic number, because the mean of its divisors is an integer number (543536392).

Almost surely, 2^58794758400 is an apocalyptic number.

58794758400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58794758400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117403860672).

58794758400 is an abundant number, since it is smaller than the sum of its proper divisors (176012962944).

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

58794758400 is a wasteful number, since it uses less digits than its factorization.

58794758400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25786 (or 25767 counting only the distinct ones).

The product of its (nonzero) digits is 11289600, while the sum is 57.

The spelling of 58794758400 in words is "fifty-eight billion, seven hundred ninety-four million, seven hundred fifty-eight thousand, four hundred".