56021414400 has 1440 divisors, whose sum is σ = 248232112128. Its totient is φ = 12242534400.

The previous prime is 56021414399. The next prime is 56021414453. The reversal of 56021414400 is 441412065.

56021414400 is a `hidden beast` number, since 5 + 6 + 0 + 214 + 1 + 440 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 674956759 + ... + 674956841.

Almost surely, 2^56021414400 is an apocalyptic number.

56021414400 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 56021414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124116056064).

56021414400 is an abundant number, since it is smaller than the sum of its proper divisors (192210697728).

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

56021414400 is an equidigital number, since it uses as much as digits as its factorization.

56021414400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 56021414400 its reverse (441412065), we get a palindrome (56462826465).

The spelling of 56021414400 in words is "fifty-six billion, twenty-one million, four hundred fourteen thousand, four hundred".