115965809856 has 504 divisors, whose sum is σ = 376829945856. Its totient is φ = 34041047040.

The previous prime is 115965809809. The next prime is 115965809873. The reversal of 115965809856 is 658908569511.

It is a junction number, because it is equal to n+sod(n) for n = 115965809793 and 115965809802.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 250465881 + ... + 250466343.

It is an arithmetic number, because the mean of its divisors is an integer number (747678464).

Almost surely, 2^115965809856 is an apocalyptic number.

115965809856 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 115965809856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188414972928).

115965809856 is an abundant number, since it is smaller than the sum of its proper divisors (260864136000).

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

115965809856 is a wasteful number, since it uses less digits than its factorization.

115965809856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 621 (or 595 counting only the distinct ones).

The product of its (nonzero) digits is 23328000, while the sum is 63.

The spelling of 115965809856 in words is "one hundred fifteen billion, nine hundred sixty-five million, eight hundred nine thousand, eight hundred fifty-six".