238159109986560 has 1584 divisors, whose sum is σ = 1001878651751040. Its totient is φ = 53103814410240.

The previous prime is 238159109986549. The next prime is 238159109986561. The reversal of 238159109986560 is 65689901951832.

238159109986560 is a `hidden beast` number, since 2 + 3 + 8 + 1 + 59 + 1 + 0 + 9 + 9 + 8 + 6 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (238159109986561) by changing a digit.

It is a polite number, since it can be written in 175 ways as a sum of consecutive naturals, for example, 21692235151 + ... + 21692246129.

Almost surely, 2^{238159109986560} is an apocalyptic number.

238159109986560 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 238159109986560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500939325875520).

238159109986560 is an abundant number, since it is smaller than the sum of its proper divisors (763719541764480).

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

238159109986560 is an frugal number, since it uses more digits than its factorization.

238159109986560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11078 (or 11037 counting only the distinct ones).

The product of its (nonzero) digits is 251942400, while the sum is 72.

The spelling of 238159109986560 in words is "two hundred thirty-eight trillion, one hundred fifty-nine billion, one hundred nine million, nine hundred eighty-six thousand, five hundred sixty".