58022802252900 has 81 divisors (see below), whose sum is σ = 181869966452811. Its totient is φ = 15472686329280.

The previous prime is 58022802252893. The next prime is 58022802252931. The reversal of 58022802252900 is 925220822085.

The square root of 58022802252900 is 7617270.

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

58022802252900 is a `hidden beast` number, since 5 + 8 + 0 + 22 + 80 + 22 + 529 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 14543865304164 + 43478936948736 = 3813642^2 + 6593856^2 .

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 26 ways as a sum of consecutive naturals, for example, 228391146 + ... + 228645054.

Almost surely, 2^{58022802252900} is an apocalyptic number.

58022802252900 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

58022802252900 is the 7617270-th square number.

It is an amenable number.

58022802252900 is an abundant number, since it is smaller than the sum of its proper divisors (123847164199911).

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

58022802252900 is an frugal number, since it uses more digits than its factorization.

58022802252900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 507838 (or 253919 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 58022802252900 in words is "fifty-eight trillion, twenty-two billion, eight hundred two million, two hundred fifty-two thousand, nine hundred".