11664568705576 has 64 divisors (see below), whose sum is σ = 24620385196800. Its totient is φ = 5151480542208.

The previous prime is 11664568705561. The next prime is 11664568705577. The reversal of 11664568705576 is 67550786546611.

It is not an unprimeable number, because it can be changed into a prime (11664568705577) 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, 35014236 + ... + 35345803.

It is an arithmetic number, because the mean of its divisors is an integer number (384693518700).

Almost surely, 2^{11664568705576} is an apocalyptic number.

It is an amenable number.

11664568705576 is an abundant number, since it is smaller than the sum of its proper divisors (12955816491224).

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

11664568705576 is a wasteful number, since it uses less digits than its factorization.

11664568705576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70360138 (or 70360134 counting only the distinct ones).

The product of its (nonzero) digits is 254016000, while the sum is 67.

The spelling of 11664568705576 in words is "eleven trillion, six hundred sixty-four billion, five hundred sixty-eight million, seven hundred five thousand, five hundred seventy-six".