2665056975165 has 288 divisors, whose sum is σ = 5373020671200. Its totient is φ = 1259913553920.

The previous prime is 2665056975143. The next prime is 2665056975173. The reversal of 2665056975165 is 5615796505662.

It is a happy number.

2665056975165 is a `hidden beast` number, since 2 + 6 + 6 + 5 + 0 + 569 + 7 + 5 + 1 + 65 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 273292655076 + 2391764320089 = 522774^2 + 1546533^2 .

It is not a de Polignac number, because 2665056975165 - 2¹³ = 2665056966973 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2832153595 + ... + 2832154535.

It is an arithmetic number, because the mean of its divisors is an integer number (18656321775).

Almost surely, 2^{2665056975165} is an apocalyptic number.

It is an amenable number.

2665056975165 is an abundant number, since it is smaller than the sum of its proper divisors (2707963696035).

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

2665056975165 is an equidigital number, since it uses as much as digits as its factorization.

2665056975165 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1241 (or 1220 counting only the distinct ones).

The product of its (nonzero) digits is 102060000, while the sum is 63.

The spelling of 2665056975165 in words is "two trillion, six hundred sixty-five billion, fifty-six million, nine hundred seventy-five thousand, one hundred sixty-five".