17680081017984 has 256 divisors, whose sum is σ = 58557272371200. Its totient is φ = 4591730442240.

The previous prime is 17680081017947. The next prime is 17680081018003. The reversal of 17680081017984 is 48971018008671.

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 31 ways as a sum of consecutive naturals, for example, 328739704 + ... + 328793480.

It is an arithmetic number, because the mean of its divisors is an integer number (228739345200).

Almost surely, 2^{17680081017984} is an apocalyptic number.

17680081017984 is a gapful number since it is divisible by the number (14) 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 17680081017984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29278636185600).

17680081017984 is an abundant number, since it is smaller than the sum of its proper divisors (40877191353216).

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

17680081017984 is a wasteful number, since it uses less digits than its factorization.

17680081017984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64931 (or 64919 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 60.

The spelling of 17680081017984 in words is "seventeen trillion, six hundred eighty billion, eighty-one million, seventeen thousand, nine hundred eighty-four".