165066580224 has 432 divisors, whose sum is σ = 587975012352. Its totient is φ = 43369316352.

The previous prime is 165066580219. The next prime is 165066580243. The reversal of 165066580224 is 422085660561.

165066580224 is a `hidden beast` number, since 1 + 6 + 5 + 0 + 66 + 580 + 2 + 2 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 165066580224.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 61430209 + ... + 61432895.

Almost surely, 2^165066580224 is an apocalyptic number.

165066580224 is a gapful number since it is divisible by the number (14) 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 165066580224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293987506176).

165066580224 is an abundant number, since it is smaller than the sum of its proper divisors (422908432128).

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

165066580224 is a wasteful number, since it uses less digits than its factorization.

165066580224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3022 (or 3005 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 165066580224 in words is "one hundred sixty-five billion, sixty-six million, five hundred eighty thousand, two hundred twenty-four".