16683982560 has 576 divisors, whose sum is σ = 68412859200. Its totient is φ = 3786338304.

The previous prime is 16683982559. The next prime is 16683982561. The reversal of 16683982560 is 6528938661.

It is a happy number.

16683982560 is a `hidden beast` number, since 16 + 68 + 3 + 9 + 8 + 2 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (16683982559) and next prime (16683982561).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 16683982497 and 16683982506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16683982561) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 56941774 + ... + 56942066.

It is an arithmetic number, because the mean of its divisors is an integer number (118772325).

Almost surely, 2^16683982560 is an apocalyptic number.

16683982560 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 16683982560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34206429600).

16683982560 is an abundant number, since it is smaller than the sum of its proper divisors (51728876640).

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

16683982560 is a wasteful number, since it uses less digits than its factorization.

16683982560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 600 (or 579 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 16683982560 in words is "sixteen billion, six hundred eighty-three million, nine hundred eighty-two thousand, five hundred sixty".