165057856516080 has 640 divisors, whose sum is σ = 629090592768000. Its totient is φ = 39441809433600.

The previous prime is 165057856516051. The next prime is 165057856516141. The reversal of 165057856516080 is 80615658750561.

165057856516080 is a `hidden beast` number, since 1 + 6 + 5 + 0 + 5 + 7 + 8 + 565 + 1 + 60 + 8 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 165057856515999 and 165057856516017.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11132241627 + ... + 11132256453.

It is an arithmetic number, because the mean of its divisors is an integer number (982954051200).

Almost surely, 2^{165057856516080} is an apocalyptic number.

165057856516080 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 165057856516080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314545296384000).

165057856516080 is an abundant number, since it is smaller than the sum of its proper divisors (464032736251920).

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

165057856516080 is a wasteful number, since it uses less digits than its factorization.

165057856516080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21530 (or 21518 counting only the distinct ones).

The product of its (nonzero) digits is 60480000, while the sum is 63.

The spelling of 165057856516080 in words is "one hundred sixty-five trillion, fifty-seven billion, eight hundred fifty-six million, five hundred sixteen thousand, eighty".