16678310905872 has 960 divisors, whose sum is σ = 63222753484800. Its totient is φ = 4129533757440.

The previous prime is 16678310905859. The next prime is 16678310905873. The reversal of 16678310905872 is 27850901387661.

16678310905872 is a `hidden beast` number, since 16 + 6 + 7 + 8 + 31 + 0 + 9 + 0 + 587 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (16678310905873) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 685858258 + ... + 685882574.

It is an arithmetic number, because the mean of its divisors is an integer number (65857034880).

Almost surely, 2^{16678310905872} is an apocalyptic number.

16678310905872 is a gapful number since it is divisible by the number (12) 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 16678310905872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31611376742400).

16678310905872 is an abundant number, since it is smaller than the sum of its proper divisors (46544442578928).

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

16678310905872 is a wasteful number, since it uses less digits than its factorization.

16678310905872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24466 (or 24448 counting only the distinct ones).

The product of its (nonzero) digits is 30481920, while the sum is 63.

The spelling of 16678310905872 in words is "sixteen trillion, six hundred seventy-eight billion, three hundred ten million, nine hundred five thousand, eight hundred seventy-two".