58574042400 has 72 divisors (see below), whose sum is σ = 190658515824. Its totient is φ = 15619744000.

The previous prime is 58574042393. The next prime is 58574042437. The reversal of 58574042400 is 424047585.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

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, 12200526 + ... + 12205325.

It is an arithmetic number, because the mean of its divisors is an integer number (2648034942).

Almost surely, 2^58574042400 is an apocalyptic number.

58574042400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

58574042400 is an abundant number, since it is smaller than the sum of its proper divisors (132084473424).

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

58574042400 is a wasteful number, since it uses less digits than its factorization.

58574042400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24405874 (or 24405861 counting only the distinct ones).

The product of its (nonzero) digits is 179200, while the sum is 39.

Adding to 58574042400 its reverse (424047585), we get a palindrome (58998089985).

The spelling of 58574042400 in words is "fifty-eight billion, five hundred seventy-four million, forty-two thousand, four hundred".