16855250227200 has 2808 divisors, whose sum is σ = 78858924580800. Its totient is φ = 3342650572800.

The previous prime is 16855250227187. The next prime is 16855250227237. The reversal of 16855250227200 is 272205255861.

16855250227200 is a `hidden beast` number, since 1 + 6 + 8 + 552 + 5 + 0 + 22 + 72 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 37539532576 + ... + 37539533024.

It is an arithmetic number, because the mean of its divisors is an integer number (28083662600).

Almost surely, 2^{16855250227200} is an apocalyptic number.

16855250227200 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 16855250227200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39429462290400).

16855250227200 is an abundant number, since it is smaller than the sum of its proper divisors (62003674353600).

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

16855250227200 is a wasteful number, since it uses less digits than its factorization.

16855250227200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 553 (or 500 counting only the distinct ones).

The product of its (nonzero) digits is 672000, while the sum is 45.

The spelling of 16855250227200 in words is "sixteen trillion, eight hundred fifty-five billion, two hundred fifty million, two hundred twenty-seven thousand, two hundred".