165557121205567 has 32 divisors (see below), whose sum is σ = 204257075742720. Its totient is φ = 130672444008960.

The previous prime is 165557121205529. The next prime is 165557121205603. The reversal of 165557121205567 is 765502121755561.

165557121205567 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 165557121205567 - 2³⁵ = 165522761467199 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165557121205067) 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, 377047383 + ... + 377486215.

It is an arithmetic number, because the mean of its divisors is an integer number (6383033616960).

Almost surely, 2^{165557121205567} is an apocalyptic number.

165557121205567 is a deficient number, since it is larger than the sum of its proper divisors (38699954537153).

165557121205567 is a wasteful number, since it uses less digits than its factorization.

165557121205567 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 448903.

The product of its (nonzero) digits is 22050000, while the sum is 58.

The spelling of 165557121205567 in words is "one hundred sixty-five trillion, five hundred fifty-seven billion, one hundred twenty-one million, two hundred five thousand, five hundred sixty-seven".