16800541200 has 180 divisors, whose sum is σ = 59102134260. Its totient is φ = 4418703360.

The previous prime is 16800541169. The next prime is 16800541229. The reversal of 16800541200 is 214500861.

16800541200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 1874543616 + 14925997584 = 43296^2 + 122172^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×16800541200² (a number of 21 digits) contains 22 as substring.

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 35 ways as a sum of consecutive naturals, for example, 230836 + ... + 294764.

Almost surely, 2^16800541200 is an apocalyptic number.

16800541200 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 16800541200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29551067130).

16800541200 is an abundant number, since it is smaller than the sum of its proper divisors (42301593060).

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

16800541200 is a wasteful number, since it uses less digits than its factorization.

16800541200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64026 (or 64012 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The spelling of 16800541200 in words is "sixteen billion, eight hundred million, five hundred forty-one thousand, two hundred".