56452233600 has 864 divisors, whose sum is σ = 237115850400. Its totient is φ = 12750151680.

The previous prime is 56452233587. The next prime is 56452233623. The reversal of 56452233600 is 633225465.

56452233600 is a `hidden beast` number, since 5 + 6 + 45 + 2 + 2 + 3 + 3 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 153820617 + ... + 153820983.

Almost surely, 2^56452233600 is an apocalyptic number.

56452233600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56452233600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118557925200).

56452233600 is an abundant number, since it is smaller than the sum of its proper divisors (180663616800).

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

56452233600 is a wasteful number, since it uses less digits than its factorization.

56452233600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 520 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

The spelling of 56452233600 in words is "fifty-six billion, four hundred fifty-two million, two hundred thirty-three thousand, six hundred".