11661165006577 has 32 divisors (see below), whose sum is σ = 12508203262464. Its totient is φ = 10844383334400.

The previous prime is 11661165006527. The next prime is 11661165006581. The reversal of 11661165006577 is 77560056116611.

11661165006577 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-11661165006577 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11661165006527) 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, 724873228 + ... + 724889314.

It is an arithmetic number, because the mean of its divisors is an integer number (390881351952).

Almost surely, 2^{11661165006577} is an apocalyptic number.

It is an amenable number.

11661165006577 is a deficient number, since it is larger than the sum of its proper divisors (847038255887).

11661165006577 is a wasteful number, since it uses less digits than its factorization.

11661165006577 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18769.

The product of its (nonzero) digits is 1587600, while the sum is 52.

The spelling of 11661165006577 in words is "eleven trillion, six hundred sixty-one billion, one hundred sixty-five million, six thousand, five hundred seventy-seven".