56893624320 has 832 divisors, whose sum is σ = 216651294720. Its totient is φ = 12612796416.

The previous prime is 56893624309. The next prime is 56893624321. The reversal of 56893624320 is 2342639865.

It is a tau number, because it is divible by the number of its divisors (832).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 56893624320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56893624321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 349040559 + ... + 349040721.

Almost surely, 2^56893624320 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 56893624320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108325647360).

56893624320 is an abundant number, since it is smaller than the sum of its proper divisors (159757670400).

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

56893624320 is a wasteful number, since it uses less digits than its factorization.

56893624320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 48.

The spelling of 56893624320 in words is "fifty-six billion, eight hundred ninety-three million, six hundred twenty-four thousand, three hundred twenty".