165065840772 has 144 divisors (see below), whose sum is σ = 450905495040. Its totient is φ = 46860484608.

The previous prime is 165065840761. The next prime is 165065840777. The reversal of 165065840772 is 277048560561.

It is not an unprimeable number, because it can be changed into a prime (165065840777) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 100833538 + ... + 100835174.

It is an arithmetic number, because the mean of its divisors is an integer number (3131288160).

Almost surely, 2^165065840772 is an apocalyptic number.

165065840772 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 165065840772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225452747520).

165065840772 is an abundant number, since it is smaller than the sum of its proper divisors (285839654268).

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

165065840772 is a wasteful number, since it uses less digits than its factorization.

165065840772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2650 (or 2641 counting only the distinct ones).

The product of its (nonzero) digits is 2822400, while the sum is 51.

The spelling of 165065840772 in words is "one hundred sixty-five billion, sixty-five million, eight hundred forty thousand, seven hundred seventy-two".