165705965568 has 896 divisors, whose sum is σ = 598910054400. Its totient is φ = 44856115200.

The previous prime is 165705965549. The next prime is 165705965587. The reversal of 165705965568 is 865569507561.

165705965568 is a `hidden beast` number, since 1 + 6 + 5 + 7 + 0 + 5 + 9 + 65 + 568 = 666.

It is an interprime number because it is at equal distance from previous prime (165705965549) and next prime (165705965587).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5345353713 + ... + 5345353743.

It is an arithmetic number, because the mean of its divisors is an integer number (668426400).

Almost surely, 2^165705965568 is an apocalyptic number.

165705965568 is a gapful number since it is divisible by the number (18) 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 165705965568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299455027200).

165705965568 is an abundant number, since it is smaller than the sum of its proper divisors (433204088832).

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

165705965568 is an equidigital number, since it uses as much as digits as its factorization.

165705965568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 68040000, while the sum is 63.

The spelling of 165705965568 in words is "one hundred sixty-five billion, seven hundred five million, nine hundred sixty-five thousand, five hundred sixty-eight".