115963081833600 has 1920 divisors, whose sum is σ = 460897918145280. Its totient is φ = 28638638899200.

The previous prime is 115963081833583. The next prime is 115963081833619. The reversal of 115963081833600 is 6338180369511.

115963081833600 is a `hidden beast` number, since 1 + 1 + 596 + 3 + 0 + 8 + 18 + 3 + 36 + 0 + 0 = 666.

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

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

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 33486305469 + ... + 33486308931.

It is an arithmetic number, because the mean of its divisors is an integer number (240050999034).

Almost surely, 2^{115963081833600} is an apocalyptic number.

115963081833600 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 115963081833600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230448959072640).

115963081833600 is an abundant number, since it is smaller than the sum of its proper divisors (344934836311680).

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

115963081833600 is a wasteful number, since it uses less digits than its factorization.

115963081833600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3700 (or 3674 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 115963081833600 in words is "one hundred fifteen trillion, nine hundred sixty-three billion, eighty-one million, eight hundred thirty-three thousand, six hundred".