56567865600 has 243 divisors, whose sum is σ = 202447172109. Its totient is φ = 15069542400.

The previous prime is 56567865553. The next prime is 56567865611. The reversal of 56567865600 is 656876565.

The square root of 56567865600 is 237840.

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

56567865600 is a `hidden beast` number, since 5 + 6 + 5 + 6 + 78 + 6 + 560 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 20364431616 + 36203433984 = 142704^2 + 190272^2 .

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, 57081105 + ... + 57082095.

Almost surely, 2^56567865600 is an apocalyptic number.

56567865600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

56567865600 is the 237840-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56567865600

56567865600 is an abundant number, since it is smaller than the sum of its proper divisors (145879306509).

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

56567865600 is an frugal number, since it uses more digits than its factorization.

56567865600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2014 (or 1001 counting only the distinct ones).

The product of its (nonzero) digits is 9072000, while the sum is 54.

The spelling of 56567865600 in words is "fifty-six billion, five hundred sixty-seven million, eight hundred sixty-five thousand, six hundred".