56381521996800 has 5280 divisors, whose sum is σ = 292747296973824. Its totient is φ = 10335485952000.

The previous prime is 56381521996763. The next prime is 56381521996817. The reversal of 56381521996800 is 869912518365.

56381521996800 is a `hidden beast` number, since 5 + 6 + 381 + 5 + 2 + 199 + 68 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5280).

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 479 ways as a sum of consecutive naturals, for example, 47740492210 + ... + 47740493390.

Almost surely, 2^{56381521996800} is an apocalyptic number.

56381521996800 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 56381521996800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146373648486912).

56381521996800 is an abundant number, since it is smaller than the sum of its proper divisors (236365774977024).

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

56381521996800 is a wasteful number, since it uses less digits than its factorization.

56381521996800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1277 (or 1245 counting only the distinct ones).

The product of its (nonzero) digits is 27993600, while the sum is 63.

The spelling of 56381521996800 in words is "fifty-six trillion, three hundred eighty-one billion, five hundred twenty-one million, nine hundred ninety-six thousand, eight hundred".