16985424768 has 192 divisors, whose sum is σ = 50437025280. Its totient is φ = 5057095680.

The previous prime is 16985424763. The next prime is 16985424793. The reversal of 16985424768 is 86742458961.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16985424763) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2007555 + ... + 2015997.

It is an arithmetic number, because the mean of its divisors is an integer number (262692840).

Almost surely, 2^16985424768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16985424768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25218512640).

16985424768 is an abundant number, since it is smaller than the sum of its proper divisors (33451600512).

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

16985424768 is a wasteful number, since it uses less digits than its factorization.

16985424768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8517 (or 8492 counting only the distinct ones).

The product of its digits is 23224320, while the sum is 60.

The spelling of 16985424768 in words is "sixteen billion, nine hundred eighty-five million, four hundred twenty-four thousand, seven hundred sixty-eight".