56804966400 has 816 divisors, whose sum is σ = 233000198144. Its totient is φ = 11890851840.

The previous prime is 56804966389. The next prime is 56804966417. The reversal of 56804966400 is 466940865.

It is a happy number.

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 56804966400.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 447283137 + ... + 447283263.

Almost surely, 2^56804966400 is an apocalyptic number.

56804966400 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 56804966400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116500099072).

56804966400 is an abundant number, since it is smaller than the sum of its proper divisors (176195231744).

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

56804966400 is a wasteful number, since it uses less digits than its factorization.

56804966400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 48.

The spelling of 56804966400 in words is "fifty-six billion, eight hundred four million, nine hundred sixty-six thousand, four hundred".