16960884864 has 256 divisors, whose sum is σ = 56371368960. Its totient is φ = 4389580800.

The previous prime is 16960884839. The next prime is 16960884883. The reversal of 16960884864 is 46848806961.

It is a junction number, because it is equal to n+sod(n) for n = 16960884798 and 16960884807.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9786142 + ... + 9787874.

It is an arithmetic number, because the mean of its divisors is an integer number (220200660).

Almost surely, 2^16960884864 is an apocalyptic number.

16960884864 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 16960884864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28185684480).

16960884864 is an abundant number, since it is smaller than the sum of its proper divisors (39410484096).

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

16960884864 is a wasteful number, since it uses less digits than its factorization.

16960884864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2099 (or 2087 counting only the distinct ones).

The product of its (nonzero) digits is 15925248, while the sum is 60.

The spelling of 16960884864 in words is "sixteen billion, nine hundred sixty million, eight hundred eighty-four thousand, eight hundred sixty-four".