56438992512 has 512 divisors, whose sum is σ = 207071424000. Its totient is φ = 14762704896.

The previous prime is 56438992507. The next prime is 56438992591. The reversal of 56438992512 is 21529983465.

56438992512 is a `hidden beast` number, since 5 + 6 + 4 + 38 + 9 + 92 + 512 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15214914 + ... + 15218622.

It is an arithmetic number, because the mean of its divisors is an integer number (404436375).

Almost surely, 2^56438992512 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 56438992512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103535712000).

56438992512 is an abundant number, since it is smaller than the sum of its proper divisors (150632431488).

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

56438992512 is a wasteful number, since it uses less digits than its factorization.

56438992512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3793 (or 3775 counting only the distinct ones).

The product of its digits is 4665600, while the sum is 54.

The spelling of 56438992512 in words is "fifty-six billion, four hundred thirty-eight million, nine hundred ninety-two thousand, five hundred twelve".