58047528960 has 408 divisors, whose sum is σ = 208969116720. Its totient is φ = 15479341056.

The previous prime is 58047528853. The next prime is 58047528971. The reversal of 58047528960 is 6982574085.

It is a Jordan-Polya number, since it can be written as 6! ⋅ 4! ⋅ (3!)⁸ ⋅ 2!.

58047528960 is a `hidden beast` number, since 5 + 80 + 475 + 2 + 8 + 96 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nialpdrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 58047528897 and 58047528906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11609505790 + ... + 11609505794.

Almost surely, 2^58047528960 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 58047528960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104484558360).

58047528960 is an abundant number, since it is smaller than the sum of its proper divisors (150921587760).

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

58047528960 is an frugal number, since it uses more digits than its factorization.

58047528960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 58047528960 in words is "fifty-eight billion, forty-seven million, five hundred twenty-eight thousand, nine hundred sixty".