238827980160 has 576 divisors, whose sum is σ = 1036011543840. Its totient is φ = 49625579520.

The previous prime is 238827980119. The next prime is 238827980201. The reversal of 238827980160 is 61089728832.

It is a happy number.

238827980160 is a `hidden beast` number, since 2 + 388 + 27 + 9 + 80 + 160 = 666.

238827980160 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (238827980119) and next prime (238827980201).

It is a tau number, because it is divible by the number of its divisors (576).

It is a junction number, because it is equal to n+sod(n) for n = 238827980097 and 238827980106.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4854244 + ... + 4903196.

Almost surely, 2^238827980160 is an apocalyptic number.

238827980160 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 238827980160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518005771920).

238827980160 is an abundant number, since it is smaller than the sum of its proper divisors (797183563680).

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

238827980160 is a wasteful number, since it uses less digits than its factorization.

238827980160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49007 (or 48981 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 238827980160 in words is "two hundred thirty-eight billion, eight hundred twenty-seven million, nine hundred eighty thousand, one hundred sixty".