165955617098880 has 256 divisors, whose sum is σ = 604576560441600. Its totient is φ = 37931209408512.

The previous prime is 165955617098863. The next prime is 165955617098917. The reversal of 165955617098880 is 88890716559561.

It is a junction number, because it is equal to n+sod(n) for n = 165955617098796 and 165955617098805.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 358522626 + ... + 358985214.

It is an arithmetic number, because the mean of its divisors is an integer number (2361627189225).

Almost surely, 2^{165955617098880} is an apocalyptic number.

165955617098880 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 165955617098880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302288280220800).

165955617098880 is an abundant number, since it is smaller than the sum of its proper divisors (438620943342720).

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

165955617098880 is a wasteful number, since it uses less digits than its factorization.

165955617098880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489311 (or 489299 counting only the distinct ones).

The product of its (nonzero) digits is 1306368000, while the sum is 78.

The spelling of 165955617098880 in words is "one hundred sixty-five trillion, nine hundred fifty-five billion, six hundred seventeen million, ninety-eight thousand, eight hundred eighty".