1668850560000 has 3520 divisors, whose sum is σ = 7735183948800. Its totient is φ = 350355456000.

The previous prime is 1668850559989. The next prime is 1668850560029. The reversal of 1668850560000 is 650588661.

1668850560000 is a `hidden beast` number, since 1 + 6 + 6 + 8 + 85 + 0 + 560 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×1668850560000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 319 ways as a sum of consecutive naturals, for example, 72558719989 + ... + 72558720011.

It is an arithmetic number, because the mean of its divisors is an integer number (2197495440).

Almost surely, 2^{1668850560000} is an apocalyptic number.

1668850560000 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 1668850560000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3867591974400).

1668850560000 is an abundant number, since it is smaller than the sum of its proper divisors (6066333388800).

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

1668850560000 is a wasteful number, since it uses less digits than its factorization.

1668850560000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 1668850560000 in words is "one trillion, six hundred sixty-eight billion, eight hundred fifty million, five hundred sixty thousand".