115711948800 has 864 divisors, whose sum is σ = 490332679200. Its totient is φ = 25515786240.

The previous prime is 115711948787. The next prime is 115711948813. The reversal of 115711948800 is 8849117511.

115711948800 is a `hidden beast` number, since 1 + 1 + 57 + 119 + 488 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (115711948787) and next prime (115711948813).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 93541782 + ... + 93543018.

It is an arithmetic number, because the mean of its divisors is an integer number (567514675).

Almost surely, 2^115711948800 is an apocalyptic number.

115711948800 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 115711948800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245166339600).

115711948800 is an abundant number, since it is smaller than the sum of its proper divisors (374620730400).

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

115711948800 is a wasteful number, since it uses less digits than its factorization.

115711948800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1311 (or 1283 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 45.

The spelling of 115711948800 in words is "one hundred fifteen billion, seven hundred eleven million, nine hundred forty-eight thousand, eight hundred".