58096415520 has 1152 divisors, whose sum is σ = 253609574400. Its totient is φ = 11894169600.

The previous prime is 58096415513. The next prime is 58096415537. The reversal of 58096415520 is 2551469085.

58096415520 is a `hidden beast` number, since 5 + 8 + 0 + 96 + 4 + 1 + 552 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 121286641 + ... + 121287119.

It is an arithmetic number, because the mean of its divisors is an integer number (220147200).

Almost surely, 2^58096415520 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 58096415520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126804787200).

58096415520 is an abundant number, since it is smaller than the sum of its proper divisors (195513158880).

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

58096415520 is a wasteful number, since it uses less digits than its factorization.

58096415520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 574 (or 563 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 45.

The spelling of 58096415520 in words is "fifty-eight billion, ninety-six million, four hundred fifteen thousand, five hundred twenty".