238881091680 has 864 divisors, whose sum is σ = 1072887379200. Its totient is φ = 49633274880.

The previous prime is 238881091679. The next prime is 238881091723. The reversal of 238881091680 is 86190188832.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 20950621 + ... + 20962019.

It is an arithmetic number, because the mean of its divisors is an integer number (1241767800).

Almost surely, 2^238881091680 is an apocalyptic number.

238881091680 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 238881091680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (536443689600).

238881091680 is an abundant number, since it is smaller than the sum of its proper divisors (834006287520).

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

238881091680 is a wasteful number, since it uses less digits than its factorization.

238881091680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11454 (or 11427 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 54.

The spelling of 238881091680 in words is "two hundred thirty-eight billion, eight hundred eighty-one million, ninety-one thousand, six hundred eighty".