165907272897 has 14 divisors (see below), whose sum is σ = 248747119442. Its totient is φ = 110604848112.

The previous prime is 165907272877. The next prime is 165907272907. The reversal of 165907272897 is 798272709561.

165907272897 is a `hidden beast` number, since 16 + 590 + 7 + 2 + 7 + 28 + 9 + 7 = 666.

It can be written as a sum of positive squares in only one way, i.e., 89286818481 + 76620454416 = 298809^2 + 276804^2 .

It is not a de Polignac number, because 165907272897 - 2¹⁵ = 165907240129 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (165907272857) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 113790268 + ... + 113791725.

Almost surely, 2^165907272897 is an apocalyptic number.

It is an amenable number.

165907272897 is a deficient number, since it is larger than the sum of its proper divisors (82839846545).

165907272897 is an frugal number, since it uses more digits than its factorization.

165907272897 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227582011 (or 227581996 counting only the distinct ones).

The product of its (nonzero) digits is 26671680, while the sum is 63.

The spelling of 165907272897 in words is "one hundred sixty-five billion, nine hundred seven million, two hundred seventy-two thousand, eight hundred ninety-seven".