16985929968 has 180 divisors, whose sum is σ = 55580631600. Its totient is φ = 4828336128.

The previous prime is 16985929957. The next prime is 16985929969. The reversal of 16985929968 is 86992958961.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 16985929896 and 16985929905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16985929969) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1398096 + ... + 1410192.

Almost surely, 2^16985929968 is an apocalyptic number.

16985929968 is a gapful number since it is divisible by the number (18) 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 16985929968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27790315800).

16985929968 is an abundant number, since it is smaller than the sum of its proper divisors (38594701632).

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

16985929968 is a wasteful number, since it uses less digits than its factorization.

16985929968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12324 (or 12308 counting only the distinct ones).

The product of its digits is 151165440, while the sum is 72.

The spelling of 16985929968 in words is "sixteen billion, nine hundred eighty-five million, nine hundred twenty-nine thousand, nine hundred sixty-eight".