115878168000 has 896 divisors, whose sum is σ = 489790679040. Its totient is φ = 26273894400.

The previous prime is 115878167947. The next prime is 115878168001. The reversal of 115878168000 is 861878511.

115878168000 is a `hidden beast` number, since 1 + 1 + 587 + 8 + 1 + 68 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115878168001) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 261575779 + ... + 261576221.

Almost surely, 2^115878168000 is an apocalyptic number.

115878168000 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 115878168000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244895339520).

115878168000 is an abundant number, since it is smaller than the sum of its proper divisors (373912511040).

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

115878168000 is a wasteful number, since it uses less digits than its factorization.

115878168000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 659 (or 633 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 45.

The spelling of 115878168000 in words is "one hundred fifteen billion, eight hundred seventy-eight million, one hundred sixty-eight thousand".