115909721874576 has 240 divisors, whose sum is σ = 376119795542400. Its totient is φ = 32638814410752.

The previous prime is 115909721874511. The next prime is 115909721874607. The reversal of 115909721874576 is 675478127909511.

115909721874576 is a `hidden beast` number, since 1 + 1 + 5 + 9 + 0 + 97 + 2 + 1 + 87 + 457 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16176130 + ... + 22214558.

It is an arithmetic number, because the mean of its divisors is an integer number (1567165814760).

Almost surely, 2^{115909721874576} is an apocalyptic number.

115909721874576 is a gapful number since it is divisible by the number (16) 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 115909721874576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188059897771200).

115909721874576 is an abundant number, since it is smaller than the sum of its proper divisors (260210073667824).

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

115909721874576 is a wasteful number, since it uses less digits than its factorization.

115909721874576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6038726 (or 6038717 counting only the distinct ones).

The product of its (nonzero) digits is 266716800, while the sum is 72.

The spelling of 115909721874576 in words is "one hundred fifteen trillion, nine hundred nine billion, seven hundred twenty-one million, eight hundred seventy-four thousand, five hundred seventy-six".