165121583680 has 56 divisors (see below), whose sum is σ = 393333704568. Its totient is φ = 66025463808.

The previous prime is 165121583629. The next prime is 165121583717. The reversal of 165121583680 is 86385121561.

It can be written as a sum of positive squares in 4 ways, for example, as 7391872576 + 157729711104 = 85976^2 + 397152^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 165121583680.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 837982 + ... + 1016098.

It is an arithmetic number, because the mean of its divisors is an integer number (7023816153).

Almost surely, 2^165121583680 is an apocalyptic number.

165121583680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

165121583680 is an abundant number, since it is smaller than the sum of its proper divisors (228212120888).

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

165121583680 is a wasteful number, since it uses less digits than its factorization.

165121583680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181031 (or 181021 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 46.

The spelling of 165121583680 in words is "one hundred sixty-five billion, one hundred twenty-one million, five hundred eighty-three thousand, six hundred eighty".