56582136900 has 189 divisors, whose sum is σ = 184299835783. Its totient is φ = 15071443200.

The previous prime is 56582136889. The next prime is 56582136973. The reversal of 56582136900 is 963128565.

The square root of 56582136900 is 237870.

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

56582136900 is a `hidden beast` number, since 5 + 6 + 582 + 1 + 3 + 69 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 12773972484 + 43808164416 = 113022^2 + 209304^2 .

It is a super-2 number, since 2×56582136900² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 64224460 + ... + 64225340.

Almost surely, 2^56582136900 is an apocalyptic number.

56582136900 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

56582136900 is the 237870-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56582136900

56582136900 is an abundant number, since it is smaller than the sum of its proper divisors (127717698883).

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

56582136900 is an frugal number, since it uses more digits than its factorization.

56582136900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1794 (or 891 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 56582136900 in words is "fifty-six billion, five hundred eighty-two million, one hundred thirty-six thousand, nine hundred".