165360779826816 has 320 divisors, whose sum is σ = 512785949256000. Its totient is φ = 47211797606400.

The previous prime is 165360779826779. The next prime is 165360779826817. The reversal of 165360779826816 is 618628977063561.

It is not an unprimeable number, because it can be changed into a prime (165360779826817) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1289791516 + ... + 1289919716.

It is an arithmetic number, because the mean of its divisors is an integer number (1602456091425).

Almost surely, 2^{165360779826816} is an apocalyptic number.

165360779826816 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 165360779826816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256392974628000).

165360779826816 is an abundant number, since it is smaller than the sum of its proper divisors (347425169429184).

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

165360779826816 is an equidigital number, since it uses as much as digits as its factorization.

165360779826816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129645 (or 129612 counting only the distinct ones).

The product of its (nonzero) digits is 1097349120, while the sum is 75.

The spelling of 165360779826816 in words is "one hundred sixty-five trillion, three hundred sixty billion, seven hundred seventy-nine million, eight hundred twenty-six thousand, eight hundred sixteen".