115766765526576 has 80 divisors (see below), whose sum is σ = 299147903308800. Its totient is φ = 38578115811840.

The previous prime is 115766765526571. The next prime is 115766765526619. The reversal of 115766765526576 is 675625567667511.

115766765526576 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 115766765526498 and 115766765526507.

It is not an unprimeable number, because it can be changed into a prime (115766765526571) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3937764325 + ... + 3937793723.

It is an arithmetic number, because the mean of its divisors is an integer number (3739348791360).

Almost surely, 2^{115766765526576} is an apocalyptic number.

115766765526576 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

115766765526576 is an abundant number, since it is smaller than the sum of its proper divisors (183381137782224).

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

115766765526576 is a wasteful number, since it uses less digits than its factorization.

115766765526576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49594 (or 49588 counting only the distinct ones).

The product of its digits is 3333960000, while the sum is 75.

The spelling of 115766765526576 in words is "one hundred fifteen trillion, seven hundred sixty-six billion, seven hundred sixty-five million, five hundred twenty-six thousand, five hundred seventy-six".