115344805907760 has 1280 divisors, whose sum is σ = 433798635110400. Its totient is φ = 24985380372480.

The previous prime is 115344805907707. The next prime is 115344805907777. The reversal of 115344805907760 is 67709508443511.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 115344805907694 and 115344805907703.

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, 37979848962 + ... + 37979851998.

It is an arithmetic number, because the mean of its divisors is an integer number (338905183680).

Almost surely, 2^{115344805907760} is an apocalyptic number.

115344805907760 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 115344805907760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216899317555200).

115344805907760 is an abundant number, since it is smaller than the sum of its proper divisors (318453829202640).

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

115344805907760 is a wasteful number, since it uses less digits than its factorization.

115344805907760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3426 (or 3420 counting only the distinct ones).

The product of its (nonzero) digits is 25401600, while the sum is 60.

The spelling of 115344805907760 in words is "one hundred fifteen trillion, three hundred forty-four billion, eight hundred five million, nine hundred seven thousand, seven hundred sixty".