56820964200 has 768 divisors, whose sum is σ = 239384678400. Its totient is φ = 10766131200.

The previous prime is 56820964091. The next prime is 56820964223. The reversal of 56820964200 is 246902865.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 53452869 + ... + 53453931.

It is an arithmetic number, because the mean of its divisors is an integer number (311698800).

Almost surely, 2^56820964200 is an apocalyptic number.

56820964200 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 56820964200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119692339200).

56820964200 is an abundant number, since it is smaller than the sum of its proper divisors (182563714200).

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

56820964200 is a wasteful number, since it uses less digits than its factorization.

56820964200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1202 (or 1193 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The spelling of 56820964200 in words is "fifty-six billion, eight hundred twenty million, nine hundred sixty-four thousand, two hundred".