16985338999200 has 2304 divisors, whose sum is σ = 75612485491200. Its totient is φ = 3668281344000.

The previous prime is 16985338999199. The next prime is 16985338999261. The reversal of 16985338999200 is 299983358961.

It is a happy number.

16985338999200 is a `hidden beast` number, since 1 + 6 + 9 + 8 + 533 + 89 + 9 + 9 + 2 + 0 + 0 = 666.

16985338999200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 7255590030 + ... + 7255592370.

It is an arithmetic number, because the mean of its divisors is an integer number (32817919050).

Almost surely, 2^{16985338999200} is an apocalyptic number.

16985338999200 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 16985338999200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37806242745600).

16985338999200 is an abundant number, since it is smaller than the sum of its proper divisors (58627146492000).

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

16985338999200 is a wasteful number, since it uses less digits than its factorization.

16985338999200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2435 (or 2404 counting only the distinct ones).

The product of its (nonzero) digits is 226748160, while the sum is 72.

The spelling of 16985338999200 in words is "sixteen trillion, nine hundred eighty-five billion, three hundred thirty-eight million, nine hundred ninety-nine thousand, two hundred".