56809468800 has 1536 divisors, whose sum is σ = 254983680000. Its totient is φ = 12076646400.

The previous prime is 56809468753. The next prime is 56809468843. The reversal of 56809468800 is 886490865.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 719107161 + ... + 719107239.

It is an arithmetic number, because the mean of its divisors is an integer number (166005000).

Almost surely, 2^56809468800 is an apocalyptic number.

56809468800 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 56809468800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127491840000).

56809468800 is an abundant number, since it is smaller than the sum of its proper divisors (198174211200).

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

56809468800 is a wasteful number, since it uses less digits than its factorization.

56809468800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 56809468800 in words is "fifty-six billion, eight hundred nine million, four hundred sixty-eight thousand, eight hundred".