56221132800 has 288 divisors, whose sum is σ = 212414529600. Its totient is φ = 12850298880.

The previous prime is 56221132789. The next prime is 56221132813. The reversal of 56221132800 is 823112265.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1049056 + ... + 1101344.

It is an arithmetic number, because the mean of its divisors is an integer number (737550450).

Almost surely, 2^56221132800 is an apocalyptic number.

56221132800 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 56221132800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106207264800).

56221132800 is an abundant number, since it is smaller than the sum of its proper divisors (156193396800).

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

56221132800 is a wasteful number, since it uses less digits than its factorization.

56221132800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52331 (or 52306 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The spelling of 56221132800 in words is "fifty-six billion, two hundred twenty-one million, one hundred thirty-two thousand, eight hundred".