115508961991200 has 864 divisors, whose sum is σ = 394162432989696. Its totient is φ = 29359827025920.

The previous prime is 115508961991177. The next prime is 115508961991219. The reversal of 115508961991200 is 2199169805511.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 133845841969 + ... + 133845842831.

It is an arithmetic number, because the mean of its divisors is an integer number (456206519664).

Almost surely, 2^{115508961991200} is an apocalyptic number.

115508961991200 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 115508961991200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197081216494848).

115508961991200 is an abundant number, since it is smaller than the sum of its proper divisors (278653470998496).

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

115508961991200 is a wasteful number, since it uses less digits than its factorization.

115508961991200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1474 (or 1402 counting only the distinct ones).

The product of its (nonzero) digits is 1749600, while the sum is 57.

The spelling of 115508961991200 in words is "one hundred fifteen trillion, five hundred eight billion, nine hundred sixty-one million, nine hundred ninety-one thousand, two hundred".