56553596100 has 81 divisors (see below), whose sum is σ = 177286469997. Its totient is φ = 15079056480.

The previous prime is 56553596089. The next prime is 56553596107. The reversal of 56553596100 is 169535565.

It is a happy number.

The square root of 56553596100 is 237810.

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

56553596100 is a `hidden beast` number, since 5 + 6 + 5 + 53 + 596 + 1 + 0 + 0 = 666.

56553596100 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., 20359294596 + 36194301504 = 142686^2 + 190248^2 .

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 (56553596107) 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, 7130337 + ... + 7138263.

Almost surely, 2^56553596100 is an apocalyptic number.

56553596100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

56553596100 is the 237810-th square number.

It is an amenable number.

56553596100 is an abundant number, since it is smaller than the sum of its proper divisors (120732873897).

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

56553596100 is an equidigital number, since it uses as much as digits as its factorization.

56553596100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15874 (or 7937 counting only the distinct ones).

The product of its (nonzero) digits is 607500, while the sum is 45.

It can be divided in two parts, 56553 and 596100, that added together give a triangular number (652653 = T₁₁₄₂).

The spelling of 56553596100 in words is "fifty-six billion, five hundred fifty-three million, five hundred ninety-six thousand, one hundred".