16287712000000 has 1344 divisors, whose sum is σ = 50674976352000. Its totient is φ = 5109350400000.

The previous prime is 16287711999929. The next prime is 16287712000037. The reversal of 16287712000000 is 21778261.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 16287712000000.

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 111 ways as a sum of consecutive naturals, for example, 183007999956 + ... + 183008000044.

It is an arithmetic number, because the mean of its divisors is an integer number (37704595500).

Almost surely, 2^{16287712000000} is an apocalyptic number.

16287712000000 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 16287712000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25337488176000).

16287712000000 is an abundant number, since it is smaller than the sum of its proper divisors (34387264352000).

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

16287712000000 is an frugal number, since it uses more digits than its factorization.

16287712000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 34.

Adding to 16287712000000 its reverse (21778261), we get a palindrome (16287733778261).

The spelling of 16287712000000 in words is "sixteen trillion, two hundred eighty-seven billion, seven hundred twelve million", and thus it is an aban number.