56658280900 has 81 divisors (see below), whose sum is σ = 133206300423. Its totient is φ = 20908555200.

The previous prime is 56658280843. The next prime is 56658280919. The reversal of 56658280900 is 908285665.

The square root of 56658280900 is 238030.

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 14603755716 + 42054525184 = 120846^2 + 205072^2 .

It is a Duffinian number.

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, 30942985 + ... + 30944815.

Almost surely, 2^56658280900 is an apocalyptic number.

56658280900 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

56658280900 is the 238030-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56658280900

56658280900 is an abundant number, since it is smaller than the sum of its proper divisors (76548019523).

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

56658280900 is a wasteful number, since it uses less digits than its factorization.

56658280900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3702 (or 1851 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 49.

Multiplying 56658280900 by its sum of digits (49), we get a square (2776255764100 = 1666210²).

The spelling of 56658280900 in words is "fifty-six billion, six hundred fifty-eight million, two hundred eighty thousand, nine hundred".