165931295796 has 240 divisors, whose sum is σ = 505324807680. Its totient is φ = 46496669760.

The previous prime is 165931295779. The next prime is 165931295801. The reversal of 165931295796 is 697592139561.

165931295796 is a `hidden beast` number, since 1 + 6 + 5 + 9 + 31 + 29 + 579 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 69982491 + ... + 69984861.

It is an arithmetic number, because the mean of its divisors is an integer number (2105520032).

Almost surely, 2^165931295796 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 165931295796, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252662403840).

165931295796 is an abundant number, since it is smaller than the sum of its proper divisors (339393511884).

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

165931295796 is a wasteful number, since it uses less digits than its factorization.

165931295796 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2976 (or 2965 counting only the distinct ones).

The product of its digits is 27556200, while the sum is 63.

The spelling of 165931295796 in words is "one hundred sixty-five billion, nine hundred thirty-one million, two hundred ninety-five thousand, seven hundred ninety-six".