56382441292800 has 3168 divisors, whose sum is σ = 252010510295040. Its totient is φ = 12302386790400.

The previous prime is 56382441292799. The next prime is 56382441292823. The reversal of 56382441292800 is 829214428365.

56382441292800 is a `hidden beast` number, since 5 + 6 + 38 + 2 + 441 + 2 + 92 + 80 + 0 = 666.

It is a super-2 number, since 2×56382441292800² (a number of 28 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 87144422077 + ... + 87144422723.

Almost surely, 2^{56382441292800} is an apocalyptic number.

56382441292800 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 56382441292800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126005255147520).

56382441292800 is an abundant number, since it is smaller than the sum of its proper divisors (195628069002240).

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

56382441292800 is a wasteful number, since it uses less digits than its factorization.

56382441292800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 814 (or 778 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 56382441292800 in words is "fifty-six trillion, three hundred eighty-two billion, four hundred forty-one million, two hundred ninety-two thousand, eight hundred".