17985108960 has 576 divisors, whose sum is σ = 77106556800. Its totient is φ = 3793305600.

The previous prime is 17985108941. The next prime is 17985108961. The reversal of 17985108960 is 6980158971.

It is a junction number, because it is equal to n+sod(n) for n = 17985108897 and 17985108906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (17985108961) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 6419560 + ... + 6422360.

It is an arithmetic number, because the mean of its divisors is an integer number (133865550).

Almost surely, 2^17985108960 is an apocalyptic number.

17985108960 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 17985108960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38553278400).

17985108960 is an abundant number, since it is smaller than the sum of its proper divisors (59121447840).

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

17985108960 is a wasteful number, since it uses less digits than its factorization.

17985108960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2856 (or 2831 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 54.

The spelling of 17985108960 in words is "seventeen billion, nine hundred eighty-five million, one hundred eight thousand, nine hundred sixty".