58541728800 has 72 divisors (see below), whose sum is σ = 190553335056. Its totient is φ = 15611127040.

The previous prime is 58541728781. The next prime is 58541728867. The reversal of 58541728800 is 882714585.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 58541728800.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12193794 + ... + 12198593.

It is an arithmetic number, because the mean of its divisors is an integer number (2646574098).

Almost surely, 2^58541728800 is an apocalyptic number.

58541728800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

58541728800 is an abundant number, since it is smaller than the sum of its proper divisors (132011606256).

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

58541728800 is a wasteful number, since it uses less digits than its factorization.

58541728800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24392410 (or 24392397 counting only the distinct ones).

The product of its (nonzero) digits is 716800, while the sum is 48.

The spelling of 58541728800 in words is "fifty-eight billion, five hundred forty-one million, seven hundred twenty-eight thousand, eight hundred".