115881351168000 has 1920 divisors, whose sum is σ = 443201329299456. Its totient is φ = 26614038528000.

The previous prime is 115881351167993. The next prime is 115881351168001. The reversal of 115881351168000 is 861153188511.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-3 number, since 3×115881351168000³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115881351168001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 197412863707 + ... + 197412864293.

Almost surely, 2^{115881351168000} is an apocalyptic number.

115881351168000 is a gapful number since it is divisible by the number (10) 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 115881351168000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221600664649728).

115881351168000 is an abundant number, since it is smaller than the sum of its proper divisors (327319978131456).

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

115881351168000 is a wasteful number, since it uses less digits than its factorization.

115881351168000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 794 (or 758 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 48.

The spelling of 115881351168000 in words is "one hundred fifteen trillion, eight hundred eighty-one billion, three hundred fifty-one million, one hundred sixty-eight thousand".