56969702400 has 528 divisors, whose sum is σ = 207643487744. Its totient is φ = 13686865920.

The previous prime is 56969702389. The next prime is 56969702407. The reversal of 56969702400 is 420796965.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 56969702400.

It is not an unprimeable number, because it can be changed into a prime (56969702407) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 42930537 + ... + 42931863.

Almost surely, 2^56969702400 is an apocalyptic number.

56969702400 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 56969702400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103821743872).

56969702400 is an abundant number, since it is smaller than the sum of its proper divisors (150673785344).

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

56969702400 is a wasteful number, since it uses less digits than its factorization.

56969702400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1416 (or 1393 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 48.

The spelling of 56969702400 in words is "fifty-six billion, nine hundred sixty-nine million, seven hundred two thousand, four hundred".