58359813120 has 528 divisors, whose sum is σ = 239698263168. Its totient is φ = 13337395200.

The previous prime is 58359813091. The next prime is 58359813199. The reversal of 58359813120 is 2131895385.

58359813120 is a `hidden beast` number, since 5 + 8 + 3 + 598 + 1 + 31 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8705770 + ... + 8712470.

Almost surely, 2^58359813120 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 58359813120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119849131584).

58359813120 is an abundant number, since it is smaller than the sum of its proper divisors (181338450048).

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

58359813120 is an equidigital number, since it uses as much as digits as its factorization.

58359813120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6748 (or 6718 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 58359813120 in words is "fifty-eight billion, three hundred fifty-nine million, eight hundred thirteen thousand, one hundred twenty".