115738032876960 has 192 divisors, whose sum is σ = 392642004303360. Its totient is φ = 28487694090240.

The previous prime is 115738032876803. The next prime is 115738032876967. The reversal of 115738032876960 is 69678230837511.

It is a junction number, because it is equal to n+sod(n) for n = 115738032876891 and 115738032876900.

It is not an unprimeable number, because it can be changed into a prime (115738032876967) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 107785920 + ... + 108854400.

It is an arithmetic number, because the mean of its divisors is an integer number (2045010439080).

Almost surely, 2^{115738032876960} is an apocalyptic number.

115738032876960 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 115738032876960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196321002151680).

115738032876960 is an abundant number, since it is smaller than the sum of its proper divisors (276903971426400).

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

115738032876960 is a wasteful number, since it uses less digits than its factorization.

115738032876960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1085871 (or 1085863 counting only the distinct ones).

The product of its (nonzero) digits is 91445760, while the sum is 66.

The spelling of 115738032876960 in words is "one hundred fifteen trillion, seven hundred thirty-eight billion, thirty-two million, eight hundred seventy-six thousand, nine hundred sixty".