238551680000 has 220 divisors, whose sum is σ = 616493393340. Its totient is φ = 92123136000.

The previous prime is 238551679867. The next prime is 238551680033. The reversal of 238551680000 is 86155832.

238551680000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 10 ways, for example, as 205781991424 + 32769688576 = 453632^2 + 181024^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 18553574 + ... + 18566426.

It is an arithmetic number, because the mean of its divisors is an integer number (2802242697).

Almost surely, 2^238551680000 is an apocalyptic number.

238551680000 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 238551680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308246696670).

238551680000 is an abundant number, since it is smaller than the sum of its proper divisors (377941713340).

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

238551680000 is an equidigital number, since it uses as much as digits as its factorization.

238551680000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12922 (or 12889 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 38.

The spelling of 238551680000 in words is "two hundred thirty-eight billion, five hundred fifty-one million, six hundred eighty thousand".