56456199824640 has 2592 divisors, whose sum is σ = 242700696741888. Its totient is φ = 11121920409600.

The previous prime is 56456199824621. The next prime is 56456199824659. The reversal of 56456199824640 is 4642899165465.

It is an interprime number because it is at equal distance from previous prime (56456199824621) and next prime (56456199824659).

It is a super-2 number, since 2×56456199824640² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (69).

It is a congruent number.

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, 68598055269 + ... + 68598056091.

It is an arithmetic number, because the mean of its divisors is an integer number (93634528064).

Almost surely, 2^{56456199824640} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56456199824640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121350348370944).

56456199824640 is an abundant number, since it is smaller than the sum of its proper divisors (186244496917248).

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

56456199824640 is a wasteful number, since it uses less digits than its factorization.

56456199824640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1037 (or 1005 counting only the distinct ones).

The product of its (nonzero) digits is 447897600, while the sum is 69.

The spelling of 56456199824640 in words is "fifty-six trillion, four hundred fifty-six billion, one hundred ninety-nine million, eight hundred twenty-four thousand, six hundred forty".