111665505506560 has 72 divisors (see below), whose sum is σ = 276697015083720. Its totient is φ = 43125988319232.

The previous prime is 111665505506537. The next prime is 111665505506561. The reversal of 111665505506560 is 65605505566111.

111665505506560 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 18557209764864 + 93108295741696 = 4307808^2 + 9649264^2 .

It is a junction number, because it is equal to n+sod(n) for n = 111665505506498 and 111665505506507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111665505506561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1504077987 + ... + 1504152226.

It is an arithmetic number, because the mean of its divisors is an integer number (3843014098385).

Almost surely, 2^{111665505506560} is an apocalyptic number.

111665505506560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

111665505506560 is an abundant number, since it is smaller than the sum of its proper divisors (165031509577160).

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

111665505506560 is an equidigital number, since it uses as much as digits as its factorization.

111665505506560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3008230263 (or 3008230249 counting only the distinct ones).

The product of its (nonzero) digits is 4050000, while the sum is 52.

The spelling of 111665505506560 in words is "one hundred eleven trillion, six hundred sixty-five billion, five hundred five million, five hundred six thousand, five hundred sixty".