16513382899200 has 960 divisors, whose sum is σ = 60171566273280. Its totient is φ = 3958996992000.

The previous prime is 16513382899187. The next prime is 16513382899219. The reversal of 16513382899200 is 299828331561.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (960).

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 26677516491 + ... + 26677517109.

It is an arithmetic number, because the mean of its divisors is an integer number (62678714868).

Almost surely, 2^{16513382899200} is an apocalyptic number.

16513382899200 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 16513382899200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30085783136640).

16513382899200 is an abundant number, since it is smaller than the sum of its proper divisors (43658183374080).

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

16513382899200 is a wasteful number, since it uses less digits than its factorization.

16513382899200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1259 (or 1238 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 57.

The spelling of 16513382899200 in words is "sixteen trillion, five hundred thirteen billion, three hundred eighty-two million, eight hundred ninety-nine thousand, two hundred".