165884632560680 has 128 divisors (see below), whose sum is σ = 415698794409600. Its totient is φ = 59062998758400.

The previous prime is 165884632560679. The next prime is 165884632560697. The reversal of 165884632560680 is 86065236488561.

It is a super-2 number, since 2×165884632560680² (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 165884632560680.

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 31 ways as a sum of consecutive naturals, for example, 4206326 + ... + 18693914.

It is an arithmetic number, because the mean of its divisors is an integer number (3247646831325).

Almost surely, 2^{165884632560680} is an apocalyptic number.

165884632560680 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 165884632560680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207849397204800).

165884632560680 is an abundant number, since it is smaller than the sum of its proper divisors (249814161848920).

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

165884632560680 is a wasteful number, since it uses less digits than its factorization.

165884632560680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14488155 (or 14488151 counting only the distinct ones).

The product of its (nonzero) digits is 398131200, while the sum is 68.

The spelling of 165884632560680 in words is "one hundred sixty-five trillion, eight hundred eighty-four billion, six hundred thirty-two million, five hundred sixty thousand, six hundred eighty".