56796422400 has 405 divisors, whose sum is σ = 210638616573. Its totient is φ = 15099955200.

The previous prime is 56796422369. The next prime is 56796422413. The reversal of 56796422400 is 422469765.

The square root of 56796422400 is 238320.

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

56796422400 is a `hidden beast` number, since 567 + 9 + 6 + 42 + 2 + 40 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 20446712064 + 36349710336 = 142992^2 + 190656^2 .

It is a tau number, because it is divible by the number of its divisors (405).

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

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 44 ways as a sum of consecutive naturals, for example, 171590235 + ... + 171590565.

Almost surely, 2^56796422400 is an apocalyptic number.

56796422400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

56796422400 is the 238320-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56796422400

56796422400 is an abundant number, since it is smaller than the sum of its proper divisors (153842194173).

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

56796422400 is an frugal number, since it uses more digits than its factorization.

56796422400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 700 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 56796422400 in words is "fifty-six billion, seven hundred ninety-six million, four hundred twenty-two thousand, four hundred".