165872560928256 has 960 divisors, whose sum is σ = 646957945041408. Its totient is φ = 41173231730688.

The previous prime is 165872560928209. The next prime is 165872560928257. The reversal of 165872560928256 is 652829065278561.

165872560928256 is a `hidden beast` number, since 1 + 6 + 5 + 8 + 7 + 2 + 5 + 609 + 2 + 8 + 2 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165872560928257) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 192040651 + ... + 192902453.

Almost surely, 2^{165872560928256} is an apocalyptic number.

165872560928256 is a gapful number since it is divisible by the number (16) 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 165872560928256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323478972520704).

165872560928256 is an abundant number, since it is smaller than the sum of its proper divisors (481085384113152).

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

165872560928256 is an equidigital number, since it uses as much as digits as its factorization.

165872560928256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 861873 (or 861845 counting only the distinct ones).

The product of its (nonzero) digits is 870912000, while the sum is 72.

The spelling of 165872560928256 in words is "one hundred sixty-five trillion, eight hundred seventy-two billion, five hundred sixty million, nine hundred twenty-eight thousand, two hundred fifty-six".