238165920000 has 1800 divisors, whose sum is σ = 1001341668096. Its totient is φ = 55959552000.

The previous prime is 238165919963. The next prime is 238165920043. The reversal of 238165920000 is 29561832.

It is a tau number, because it is divible by the number of its divisors (1800).

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 polite number, since it can be written in 199 ways as a sum of consecutive naturals, for example, 5067359977 + ... + 5067360023.

Almost surely, 2^238165920000 is an apocalyptic number.

238165920000 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 238165920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500670834048).

238165920000 is an abundant number, since it is smaller than the sum of its proper divisors (763175748096).

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

238165920000 is an equidigital number, since it uses as much as digits as its factorization.

238165920000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 238165920000 in words is "two hundred thirty-eight billion, one hundred sixty-five million, nine hundred twenty thousand".