16965801216 has 720 divisors, whose sum is σ = 64209267584. Its totient is φ = 4353564672.

The previous prime is 16965801211. The next prime is 16965801257. The reversal of 16965801216 is 61210856961.

16965801216 is a `hidden beast` number, since 1 + 69 + 6 + 580 + 1 + 2 + 1 + 6 = 666.

16965801216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a zygodrome in base 6 and base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16965801211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 458535150 + ... + 458535186.

Almost surely, 2^16965801216 is an apocalyptic number.

16965801216 is a gapful number since it is divisible by the number (16) 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 16965801216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32104633792).

16965801216 is an abundant number, since it is smaller than the sum of its proper divisors (47243466368).

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

16965801216 is an frugal number, since it uses more digits than its factorization.

16965801216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 16965801216 in words is "sixteen billion, nine hundred sixty-five million, eight hundred one thousand, two hundred sixteen".