56138987520 has 1152 divisors, whose sum is σ = 252420779520. Its totient is φ = 11625431040.

The previous prime is 56138987501. The next prime is 56138987551. The reversal of 56138987520 is 2578983165.

56138987520 is a `hidden beast` number, since 5 + 6 + 1 + 38 + 9 + 87 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 191600494 + ... + 191600786.

It is an arithmetic number, because the mean of its divisors is an integer number (219115260).

Almost surely, 2^56138987520 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 56138987520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126210389760).

56138987520 is an abundant number, since it is smaller than the sum of its proper divisors (196281792000).

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

56138987520 is a wasteful number, since it uses less digits than its factorization.

56138987520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 56138987520 in words is "fifty-six billion, one hundred thirty-eight million, nine hundred eighty-seven thousand, five hundred twenty".