58573680400 has 45 divisors (see below), whose sum is σ = 140734897183. Its totient is φ = 23427536000.

The previous prime is 58573680383. The next prime is 58573680439. The reversal of 58573680400 is 408637585.

The square root of 58573680400 is 242020.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 20069822224 + 38503858176 = 141668^2 + 196224^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4834350 + ... + 4846450.

Almost surely, 2^58573680400 is an apocalyptic number.

58573680400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

58573680400 is the 242020-th square number.

It is an amenable number.

58573680400 is an abundant number, since it is smaller than the sum of its proper divisors (82161216783).

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

58573680400 is an frugal number, since it uses more digits than its factorization.

58573680400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24220 (or 12108 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 46.

The spelling of 58573680400 in words is "fifty-eight billion, five hundred seventy-three million, six hundred eighty thousand, four hundred".