238928159389920 has 9216 divisors, whose sum is σ = 1195601370808320. Its totient is φ = 38779969536000.

The previous prime is 238928159389861. The next prime is 238928159389949. The reversal of 238928159389920 is 29983951829832.

It is a Harshad number since it is a multiple of its sum of digits (78).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 1535 ways as a sum of consecutive naturals, for example, 3365185343485 + ... + 3365185343555.

It is an arithmetic number, because the mean of its divisors is an integer number (129731051520).

Almost surely, 2^{238928159389920} is an apocalyptic number.

238928159389920 is a gapful number since it is divisible by the number (20) 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 238928159389920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (597800685404160).

238928159389920 is an abundant number, since it is smaller than the sum of its proper divisors (956673211418400).

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

238928159389920 is a wasteful number, since it uses less digits than its factorization.

238928159389920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 1209323520, while the sum is 78.

The spelling of 238928159389920 in words is "two hundred thirty-eight trillion, nine hundred twenty-eight billion, one hundred fifty-nine million, three hundred eighty-nine thousand, nine hundred twenty".