115971183820800 has 2880 divisors, whose sum is σ = 562526575994880. Its totient is φ = 22677553152000.

The previous prime is 115971183820727. The next prime is 115971183820823. The reversal of 115971183820800 is 8028381179511.

115971183820800 is a `hidden beast` number, since 1 + 1 + 597 + 1 + 18 + 38 + 2 + 0 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 14476488795 + ... + 14476496805.

It is an arithmetic number, because the mean of its divisors is an integer number (195321727776).

Almost surely, 2^{115971183820800} is an apocalyptic number.

115971183820800 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 115971183820800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281263287997440).

115971183820800 is an abundant number, since it is smaller than the sum of its proper divisors (446555392174080).

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

115971183820800 is a wasteful number, since it uses less digits than its factorization.

115971183820800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8093 (or 8056 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 54.

The spelling of 115971183820800 in words is "one hundred fifteen trillion, nine hundred seventy-one billion, one hundred eighty-three million, eight hundred twenty thousand, eight hundred".