165960865889280 has 5280 divisors, whose sum is σ = 805901371545600. Its totient is φ = 32368385064960.

The previous prime is 165960865889209. The next prime is 165960865889309. The reversal of 165960865889280 is 82988568069561.

165960865889280 is a `hidden beast` number, since 1 + 6 + 5 + 9 + 6 + 0 + 8 + 6 + 588 + 9 + 28 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5280).

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 165960865889280.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 452209443657 + ... + 452209444023.

It is an arithmetic number, because the mean of its divisors is an integer number (152632835520).

Almost surely, 2^{165960865889280} is an apocalyptic number.

165960865889280 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 165960865889280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402950685772800).

165960865889280 is an abundant number, since it is smaller than the sum of its proper divisors (639940505656320).

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

165960865889280 is a wasteful number, since it uses less digits than its factorization.

165960865889280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 3583180800, while the sum is 81.

The spelling of 165960865889280 in words is "one hundred sixty-five trillion, nine hundred sixty billion, eight hundred sixty-five million, eight hundred eighty-nine thousand, two hundred eighty".