238119552000 has 2112 divisors, whose sum is σ = 1052109527040. Its totient is φ = 51093504000.

The previous prime is 238119551851. The next prime is 238119552059. The reversal of 238119552000 is 255911832.

238119552000 is a `hidden beast` number, since 2 + 38 + 11 + 95 + 520 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2112).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5537663979 + ... + 5537664021.

It is an arithmetic number, because the mean of its divisors is an integer number (498157920).

Almost surely, 2^238119552000 is an apocalyptic number.

238119552000 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 238119552000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (526054763520).

238119552000 is an abundant number, since it is smaller than the sum of its proper divisors (813989975040).

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

238119552000 is a wasteful number, since it uses less digits than its factorization.

238119552000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The spelling of 238119552000 in words is "two hundred thirty-eight billion, one hundred nineteen million, five hundred fifty-two thousand".