165680895042432 has 5120 divisors, whose sum is σ = 702510589440000. Its totient is φ = 38555158118400.

The previous prime is 165680895042413. The next prime is 165680895042437. The reversal of 165680895042432 is 234240598086561.

165680895042432 is a `hidden beast` number, since 1 + 6 + 5 + 6 + 8 + 0 + 89 + 504 + 2 + 43 + 2 = 666.

165680895042432 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×165680895042432² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 165680895042432.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165680895042437) by changing a digit.

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 639 ways as a sum of consecutive naturals, for example, 2333533732957 + ... + 2333533733027.

It is an arithmetic number, because the mean of its divisors is an integer number (137209099500).

Almost surely, 2^{165680895042432} is an apocalyptic number.

165680895042432 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 165680895042432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351255294720000).

165680895042432 is an abundant number, since it is smaller than the sum of its proper divisors (536829694397568).

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

165680895042432 is an equidigital number, since it uses as much as digits as its factorization.

165680895042432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 99532800, while the sum is 63.

The spelling of 165680895042432 in words is "one hundred sixty-five trillion, six hundred eighty billion, eight hundred ninety-five million, forty-two thousand, four hundred thirty-two".