1668112256800 has 864 divisors, whose sum is σ = 4996580323392. Its totient is φ = 537108480000.

The previous prime is 1668112256777. The next prime is 1668112256801. The reversal of 1668112256800 is 86522118661.

It is not an unprimeable number, because it can be changed into a prime (1668112256801) 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 143 ways as a sum of consecutive naturals, for example, 5894389459 + ... + 5894389741.

It is an arithmetic number, because the mean of its divisors is an integer number (5783079078).

Almost surely, 2^{1668112256800} is an apocalyptic number.

1668112256800 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 1668112256800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2498290161696).

1668112256800 is an abundant number, since it is smaller than the sum of its proper divisors (3328468066592).

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

1668112256800 is a wasteful number, since it uses less digits than its factorization.

1668112256800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 46.

The spelling of 1668112256800 in words is "one trillion, six hundred sixty-eight billion, one hundred twelve million, two hundred fifty-six thousand, eight hundred".