56853633600 has 189 divisors, whose sum is σ = 202172985417. Its totient is φ = 15153338880.

The previous prime is 56853633589. The next prime is 56853633601. The reversal of 56853633600 is 633635865.

The square root of 56853633600 is 238440.

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

56853633600 is a `hidden beast` number, since 5 + 6 + 8 + 5 + 3 + 6 + 33 + 600 = 666.

56853633600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 20467308096 + 36386325504 = 143064^2 + 190752^2 .

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

It is not an unprimeable number, because it can be changed into a prime (56853633601) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 28611807 + ... + 28613793.

Almost surely, 2^56853633600 is an apocalyptic number.

56853633600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

56853633600 is the 238440-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56853633600

56853633600 is an abundant number, since it is smaller than the sum of its proper divisors (145319351817).

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

56853633600 is an equidigital number, since it uses as much as digits as its factorization.

56853633600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4002 (or 1997 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 45.

The spelling of 56853633600 in words is "fifty-six billion, eight hundred fifty-three million, six hundred thirty-three thousand, six hundred".