938876873937920 has 352 divisors, whose sum is σ = 2312618237890560. Its totient is φ = 365613388922880.

The previous prime is 938876873937907. The next prime is 938876873937943. The reversal of 938876873937920 is 29739378678839.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17423041217 + ... + 17423095103.

Almost surely, 2^{938876873937920} 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 938876873937920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1156309118945280).

938876873937920 is an abundant number, since it is smaller than the sum of its proper divisors (1373741363952640).

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

938876873937920 is a wasteful number, since it uses less digits than its factorization.

938876873937920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54529 (or 54511 counting only the distinct ones).

The product of its (nonzero) digits is 41479796736, while the sum is 89.

The spelling of 938876873937920 in words is "nine hundred thirty-eight trillion, eight hundred seventy-six billion, eight hundred seventy-three million, nine hundred thirty-seven thousand, nine hundred twenty".