56910873600 has 891 divisors, whose sum is σ = 240421629981. Its totient is φ = 12824985600.

The previous prime is 56910873587. The next prime is 56910873611. The reversal of 56910873600 is 637801965.

It is a happy number.

The square root of 56910873600 is 238560.

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

56910873600 is a `hidden beast` number, since 569 + 1 + 0 + 87 + 3 + 6 + 0 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 20487914496 + 36422959104 = 143136^2 + 190848^2 .

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 80 ways as a sum of consecutive naturals, for example, 801561565 + ... + 801561635.

Almost surely, 2^56910873600 is an apocalyptic number.

56910873600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

56910873600 is the 238560-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56910873600

56910873600 is an abundant number, since it is smaller than the sum of its proper divisors (183510756381).

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

56910873600 is a wasteful number, since it uses less digits than its factorization.

56910873600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 56910873600 in words is "fifty-six billion, nine hundred ten million, eight hundred seventy-three thousand, six hundred".