38656492892160 has 1664 divisors, whose sum is σ = 149218315029504. Its totient is φ = 8420988026880.

The previous prime is 38656492892071. The next prime is 38656492892209. The reversal of 38656492892160 is 6129829465683.

It is a tau number, because it is divible by the number of its divisors (1664).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 57099693742 + ... + 57099694418.

Almost surely, 2^{38656492892160} is an apocalyptic number.

38656492892160 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 38656492892160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74609157514752).

38656492892160 is an abundant number, since it is smaller than the sum of its proper divisors (110561822137344).

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

38656492892160 is a wasteful number, since it uses less digits than its factorization.

38656492892160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 897 (or 875 counting only the distinct ones).

The product of its (nonzero) digits is 268738560, while the sum is 69.

The spelling of 38656492892160 in words is "thirty-eight trillion, six hundred fifty-six billion, four hundred ninety-two million, eight hundred ninety-two thousand, one hundred sixty".