56811462400 has 648 divisors, whose sum is σ = 183072282624. Its totient is φ = 17250508800.

The previous prime is 56811462341. The next prime is 56811462401. The reversal of 56811462400 is 426411865.

It is a super-2 number, since 2×56811462400² (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 56811462400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56811462401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 148332609 + ... + 148332991.

Almost surely, 2^56811462400 is an apocalyptic number.

56811462400 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 56811462400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91536141312).

56811462400 is an abundant number, since it is smaller than the sum of its proper divisors (126260820224).

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

56811462400 is a wasteful number, since it uses less digits than its factorization.

56811462400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 37.

The spelling of 56811462400 in words is "fifty-six billion, eight hundred eleven million, four hundred sixty-two thousand, four hundred".