16668468083520 has 1792 divisors, whose sum is σ = 70404293836800. Its totient is φ = 3666469847040.

The previous prime is 16668468083497. The next prime is 16668468083521. The reversal of 16668468083520 is 2538086486661.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16668468083521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 5488463442 + ... + 5488466478.

It is an arithmetic number, because the mean of its divisors is an integer number (39288110400).

Almost surely, 2^{16668468083520} is an apocalyptic number.

16668468083520 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 16668468083520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35202146918400).

16668468083520 is an abundant number, since it is smaller than the sum of its proper divisors (53735825753280).

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

16668468083520 is a wasteful number, since it uses less digits than its factorization.

16668468083520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3213 (or 3197 counting only the distinct ones).

The product of its (nonzero) digits is 79626240, while the sum is 63.

The spelling of 16668468083520 in words is "sixteen trillion, six hundred sixty-eight billion, four hundred sixty-eight million, eighty-three thousand, five hundred twenty".