115796417304960 has 2048 divisors, whose sum is σ = 500427915264000. Its totient is φ = 24748671467520.

The previous prime is 115796417304949. The next prime is 115796417305003. The reversal of 115796417304960 is 69403714697511.

115796417304960 is a `hidden beast` number, since 1 + 1 + 5 + 7 + 96 + 417 + 30 + 49 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 13922854722 + ... + 13922863038.

It is an arithmetic number, because the mean of its divisors is an integer number (244349568000).

Almost surely, 2^{115796417304960} is an apocalyptic number.

115796417304960 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 115796417304960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250213957632000).

115796417304960 is an abundant number, since it is smaller than the sum of its proper divisors (384631497959040).

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

115796417304960 is a wasteful number, since it uses less digits than its factorization.

115796417304960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8509 (or 8491 counting only the distinct ones).

The product of its (nonzero) digits is 34292160, while the sum is 63.

The spelling of 115796417304960 in words is "one hundred fifteen trillion, seven hundred ninety-six billion, four hundred seventeen million, three hundred four thousand, nine hundred sixty".