38839968610560 has 864 divisors, whose sum is σ = 152432539808640. Its totient is φ = 9051688009728.

The previous prime is 38839968610523. The next prime is 38839968610621. The reversal of 38839968610560 is 6501686993883.

38839968610560 is a `hidden beast` number, since 388 + 3 + 9 + 9 + 6 + 86 + 105 + 60 = 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 95 ways as a sum of consecutive naturals, for example, 5927048244 + ... + 5927054796.

Almost surely, 2^{38839968610560} is an apocalyptic number.

38839968610560 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 38839968610560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76216269904320).

38839968610560 is an abundant number, since it is smaller than the sum of its proper divisors (113592571198080).

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

38839968610560 is a wasteful number, since it uses less digits than its factorization.

38839968610560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8695 (or 8678 counting only the distinct ones).

The product of its (nonzero) digits is 403107840, while the sum is 72.

The spelling of 38839968610560 in words is "thirty-eight trillion, eight hundred thirty-nine billion, nine hundred sixty-eight million, six hundred ten thousand, five hundred sixty".