38661525504 has 624 divisors, whose sum is σ = 137388625920. Its totient is φ = 10630103040.

The previous prime is 38661525457. The next prime is 38661525509. The reversal of 38661525504 is 40552516683.

38661525504 is a `hidden beast` number, since 3 + 8 + 6 + 615 + 25 + 5 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 38661525504.

It is not an unprimeable number, because it can be changed into a prime (38661525509) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 215986087 + ... + 215986265.

It is an arithmetic number, because the mean of its divisors is an integer number (220174080).

Almost surely, 2^38661525504 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 38661525504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68694312960).

38661525504 is an abundant number, since it is smaller than the sum of its proper divisors (98727100416).

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

38661525504 is an equidigital number, since it uses as much as digits as its factorization.

38661525504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The spelling of 38661525504 in words is "thirty-eight billion, six hundred sixty-one million, five hundred twenty-five thousand, five hundred four".