165979828080 has 320 divisors, whose sum is σ = 631388874240. Its totient is φ = 40237067520.

The previous prime is 165979828061. The next prime is 165979828097. The reversal of 165979828080 is 80828979561.

It is a happy number.

165979828080 is a `hidden beast` number, since 16 + 597 + 9 + 8 + 28 + 0 + 8 + 0 = 666.

165979828080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 165979827999 and 165979828017.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 1881439 + ... + 1967681.

It is an arithmetic number, because the mean of its divisors is an integer number (1973090232).

Almost surely, 2^165979828080 is an apocalyptic number.

165979828080 is a gapful number since it is divisible by the number (10) 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 165979828080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315694437120).

165979828080 is an abundant number, since it is smaller than the sum of its proper divisors (465409046160).

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

165979828080 is an equidigital number, since it uses as much as digits as its factorization.

165979828080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86288 (or 86264 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 63.

The spelling of 165979828080 in words is "one hundred sixty-five billion, nine hundred seventy-nine million, eight hundred twenty-eight thousand, eighty".