17982956160 has 768 divisors, whose sum is σ = 70715473920. Its totient is φ = 4180377600.

The previous prime is 17982956137. The next prime is 17982956213. The reversal of 17982956160 is 6165928971.

17982956160 is a `hidden beast` number, since 1 + 79 + 8 + 2 + 9 + 561 + 6 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 17982956097 and 17982956106.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 141598017 + ... + 141598143.

It is an arithmetic number, because the mean of its divisors is an integer number (92077440).

Almost surely, 2^17982956160 is an apocalyptic number.

17982956160 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 17982956160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35357736960).

17982956160 is an abundant number, since it is smaller than the sum of its proper divisors (52732517760).

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

17982956160 is a wasteful number, since it uses less digits than its factorization.

17982956160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 54.

The spelling of 17982956160 in words is "seventeen billion, nine hundred eighty-two million, nine hundred fifty-six thousand, one hundred sixty".