165688899425280 has 1056 divisors, whose sum is σ = 747233448900480. Its totient is φ = 34428846735360.

The previous prime is 165688899425209. The next prime is 165688899425317. The reversal of 165688899425280 is 82524998886561.

It is a happy number.

165688899425280 is a `hidden beast` number, since 1 + 6 + 5 + 6 + 8 + 8 + 89 + 9 + 4 + 2 + 528 + 0 = 666.

165688899425280 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a super-2 number, since 2×165688899425280² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 165688899425280.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 73399524 + ... + 75623196.

Almost surely, 2^{165688899425280} is an apocalyptic number.

165688899425280 is a gapful number since it is divisible by the number (10) 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 165688899425280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373616724450240).

165688899425280 is an abundant number, since it is smaller than the sum of its proper divisors (581544549475200).

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

165688899425280 is a wasteful number, since it uses less digits than its factorization.

165688899425280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2223732 (or 2223701 counting only the distinct ones).

The product of its (nonzero) digits is 4777574400, while the sum is 81.

The spelling of 165688899425280 in words is "one hundred sixty-five trillion, six hundred eighty-eight billion, eight hundred ninety-nine million, four hundred twenty-five thousand, two hundred eighty".