38658056790528 has 240 divisors, whose sum is σ = 127572949183680. Its totient is φ = 11039559671808.

The previous prime is 38658056790511. The next prime is 38658056790629. The reversal of 38658056790528 is 82509765085683.

38658056790528 is a `hidden beast` number, since 3 + 8 + 6 + 5 + 8 + 0 + 5 + 6 + 7 + 90 + 528 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63531826 + ... + 64137422.

It is an arithmetic number, because the mean of its divisors is an integer number (531553954932).

Almost surely, 2^{38658056790528} 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 38658056790528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63786474591840).

38658056790528 is an abundant number, since it is smaller than the sum of its proper divisors (88914892393152).

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

38658056790528 is a wasteful number, since it uses less digits than its factorization.

38658056790528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 607607 (or 607588 counting only the distinct ones).

The product of its (nonzero) digits is 870912000, while the sum is 72.

The spelling of 38658056790528 in words is "thirty-eight trillion, six hundred fifty-eight billion, fifty-six million, seven hundred ninety thousand, five hundred twenty-eight".