16996370227200 has 3024 divisors, whose sum is σ = 78368298066240. Its totient is φ = 3560248442880.

The previous prime is 16996370227171. The next prime is 16996370227223. The reversal of 16996370227200 is 272207369961.

16996370227200 is a `hidden beast` number, since 1 + 6 + 99 + 63 + 70 + 227 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (3024).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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 215 ways as a sum of consecutive naturals, for example, 122276044731 + ... + 122276044869.

Almost surely, 2^{16996370227200} is an apocalyptic number.

16996370227200 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 16996370227200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39184149033120).

16996370227200 is an abundant number, since it is smaller than the sum of its proper divisors (61371927839040).

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

16996370227200 is an frugal number, since it uses more digits than its factorization.

16996370227200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 3429216, while the sum is 54.

The spelling of 16996370227200 in words is "sixteen trillion, nine hundred ninety-six billion, three hundred seventy million, two hundred twenty-seven thousand, two hundred".