16980687360 has 1080 divisors, whose sum is σ = 74909809260. Its totient is φ = 3542482944.

The previous prime is 16980687359. The next prime is 16980687403. The reversal of 16980687360 is 6378608961.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 420086016 + 16560601344 = 20496^2 + 128688^2 .

It is a junction number, because it is equal to n+sod(n) for n = 16980687297 and 16980687306.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 190794196 + ... + 190794284.

Almost surely, 2^16980687360 is an apocalyptic number.

16980687360 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 16980687360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37454904630).

16980687360 is an abundant number, since it is smaller than the sum of its proper divisors (57929121900).

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

16980687360 is a wasteful number, since it uses less digits than its factorization.

16980687360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 16980687360 in words is "sixteen billion, nine hundred eighty million, six hundred eighty-seven thousand, three hundred sixty".