16985616960 has 224 divisors, whose sum is σ = 61135320960. Its totient is φ = 3960963072.

The previous prime is 16985616959. The next prime is 16985616983. The reversal of 16985616960 is 6961658961.

It is a happy number.

It is a super-2 number, since 2×16985616960² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 16985616960.

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, 201304 + ... + 272936.

It is an arithmetic number, because the mean of its divisors is an integer number (272925540).

Almost surely, 2^16985616960 is an apocalyptic number.

16985616960 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 16985616960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30567660480).

16985616960 is an abundant number, since it is smaller than the sum of its proper divisors (44149704000).

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

16985616960 is a wasteful number, since it uses less digits than its factorization.

16985616960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71685 (or 71675 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 57.

The spelling of 16985616960 in words is "sixteen billion, nine hundred eighty-five million, six hundred sixteen thousand, nine hundred sixty".