56422469980800 has 9216 divisors, whose sum is σ = 303969687552000. Its totient is φ = 10116513792000.

The previous prime is 56422469980771. The next prime is 56422469980823. The reversal of 56422469980800 is 808996422465.

56422469980800 is a `hidden beast` number, since 5 + 6 + 4 + 2 + 2 + 469 + 98 + 0 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 1151 ways as a sum of consecutive naturals, for example, 1820079676785 + ... + 1820079676815.

It is an arithmetic number, because the mean of its divisors is an integer number (32982822000).

Almost surely, 2^{56422469980800} is an apocalyptic number.

56422469980800 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 56422469980800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151984843776000).

56422469980800 is an abundant number, since it is smaller than the sum of its proper divisors (247547217571200).

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

56422469980800 is a wasteful number, since it uses less digits than its factorization.

56422469980800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 59719680, while the sum is 63.

The spelling of 56422469980800 in words is "fifty-six trillion, four hundred twenty-two billion, four hundred sixty-nine million, nine hundred eighty thousand, eight hundred".