56800472400 has 420 divisors, whose sum is σ = 233838238752. Its totient is φ = 12982498560.

The previous prime is 56800472357. The next prime is 56800472401. The reversal of 56800472400 is 427400865.

It is a tau number, because it is divible by the number of its divisors (420).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56800472401) by changing a digit.

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 83 ways as a sum of consecutive naturals, for example, 2027287 + ... + 2055113.

Almost surely, 2^56800472400 is an apocalyptic number.

56800472400 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 56800472400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116919119376).

56800472400 is an abundant number, since it is smaller than the sum of its proper divisors (177037766352).

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

56800472400 is a wasteful number, since it uses less digits than its factorization.

56800472400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27870 (or 27844 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 56800472400 in words is "fifty-six billion, eight hundred million, four hundred seventy-two thousand, four hundred".