38982167064960 has 2048 divisors, whose sum is σ = 159942083051520. Its totient is φ = 7870611456000.

The previous prime is 38982167064931. The next prime is 38982167064989. The reversal of 38982167064960 is 6946076128983.

It is an interprime number because it is at equal distance from previous prime (38982167064931) and next prime (38982167064989).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 69985937002 + ... + 69985937558.

It is an arithmetic number, because the mean of its divisors is an integer number (78096720240).

Almost surely, 2^{38982167064960} is an apocalyptic number.

38982167064960 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 38982167064960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79971041525760).

38982167064960 is an abundant number, since it is smaller than the sum of its proper divisors (120959915986560).

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

38982167064960 is a wasteful number, since it uses less digits than its factorization.

38982167064960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 916 (or 904 counting only the distinct ones).

The product of its (nonzero) digits is 188116992, while the sum is 69.

The spelling of 38982167064960 in words is "thirty-eight trillion, nine hundred eighty-two billion, one hundred sixty-seven million, sixty-four thousand, nine hundred sixty".