16855282483200 has 1782 divisors, whose sum is σ = 72934931999241. Its totient is φ = 3852635996160.

The previous prime is 16855282483189. The next prime is 16855282483223. The reversal of 16855282483200 is 238428255861.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Jordan-Polya number, since it can be written as (9!)² ⋅ (2!)⁷.

16855282483200 is a `hidden beast` number, since 1 + 6 + 8 + 55 + 28 + 248 + 320 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 16518176833536 + 337105649664 = 4064256^2 + 580608^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=2903040.

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 (13) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 2407897497597 + ... + 2407897497603.

Almost surely, 2^{16855282483200} is an apocalyptic number.

16855282483200 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 16855282483200

16855282483200 is an abundant number, since it is smaller than the sum of its proper divisors (56079649516041).

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

16855282483200 is an frugal number, since it uses more digits than its factorization.

16855282483200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 7372800, while the sum is 54.

16855282483200 divided by its product of nonzero digits (7372800) gives a square (2286144 = 1512²).

The spelling of 16855282483200 in words is "sixteen trillion, eight hundred fifty-five billion, two hundred eighty-two million, four hundred eighty-three thousand, two hundred".