115988832767808 has 2016 divisors, whose sum is σ = 488583776378880. Its totient is φ = 26344575406080.

The previous prime is 115988832767791. The next prime is 115988832767837. The reversal of 115988832767808 is 808767238889511.

115988832767808 is a `hidden beast` number, since 1 + 159 + 8 + 8 + 8 + 327 + 67 + 80 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a super-2 number, since 2×115988832767808² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 5619875953 + ... + 5619896591.

It is an arithmetic number, because the mean of its divisors is an integer number (242353063680).

Almost surely, 2^{115988832767808} is an apocalyptic number.

115988832767808 is a gapful number since it is divisible by the number (18) 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 115988832767808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244291888189440).

115988832767808 is an abundant number, since it is smaller than the sum of its proper divisors (372594943611072).

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

115988832767808 is a wasteful number, since it uses less digits than its factorization.

115988832767808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20735 (or 20694 counting only the distinct ones).

The product of its (nonzero) digits is 2601123840, while the sum is 81.

The spelling of 115988832767808 in words is "one hundred fifteen trillion, nine hundred eighty-eight billion, eight hundred thirty-two million, seven hundred sixty-seven thousand, eight hundred eight".