165795936768 has 960 divisors, whose sum is σ = 624675946752. Its totient is φ = 41087139840.

The previous prime is 165795936763. The next prime is 165795936773. The reversal of 165795936768 is 867639597561.

165795936768 is a `hidden beast` number, since 16 + 579 + 5 + 9 + 36 + 7 + 6 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (165795936763) and next prime (165795936773).

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

It is a junction number, because it is equal to n+sod(n) for n = 165795936696 and 165795936705.

It is not an unprimeable number, because it can be changed into a prime (165795936763) 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, 958357930 + ... + 958358102.

Almost surely, 2^165795936768 is an apocalyptic number.

165795936768 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 165795936768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312337973376).

165795936768 is an abundant number, since it is smaller than the sum of its proper divisors (458880009984).

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

165795936768 is a wasteful number, since it uses less digits than its factorization.

165795936768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325 (or 306 counting only the distinct ones).

The product of its digits is 514382400, while the sum is 72.

The spelling of 165795936768 in words is "one hundred sixty-five billion, seven hundred ninety-five million, nine hundred thirty-six thousand, seven hundred sixty-eight".