38910112560 has 560 divisors, whose sum is σ = 149419150848. Its totient is φ = 9340531200.

The previous prime is 38910112537. The next prime is 38910112573. The reversal of 38910112560 is 6521101983.

38910112560 is a `hidden beast` number, since 3 + 8 + 91 + 0 + 1 + 1 + 2 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 84038889 + ... + 84039351.

Almost surely, 2^38910112560 is an apocalyptic number.

38910112560 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38910112560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74709575424).

38910112560 is an abundant number, since it is smaller than the sum of its proper divisors (110509038288).

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

38910112560 is a wasteful number, since it uses less digits than its factorization.

38910112560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 636 (or 615 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The spelling of 38910112560 in words is "thirty-eight billion, nine hundred ten million, one hundred twelve thousand, five hundred sixty".