16716644460800 has 432 divisors, whose sum is σ = 43084944887040. Its totient is φ = 6417170104320.

The previous prime is 16716644460799. The next prime is 16716644460889. The reversal of 16716644460800 is 806444661761.

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 47 ways as a sum of consecutive naturals, for example, 3930551474 + ... + 3930555726.

It is an arithmetic number, because the mean of its divisors is an integer number (99733668720).

Almost surely, 2^{16716644460800} is an apocalyptic number.

16716644460800 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 16716644460800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21542472443520).

16716644460800 is an abundant number, since it is smaller than the sum of its proper divisors (26368300426240).

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

16716644460800 is a wasteful number, since it uses less digits than its factorization.

16716644460800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4578 (or 4559 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 53.

The spelling of 16716644460800 in words is "sixteen trillion, seven hundred sixteen billion, six hundred forty-four million, four hundred sixty thousand, eight hundred".