1680189205896 has 288 divisors, whose sum is σ = 4900612516800. Its totient is φ = 539288305920.

The previous prime is 1680189205883. The next prime is 1680189205927. The reversal of 1680189205896 is 6985029810861.

1680189205896 is a `hidden beast` number, since 16 + 8 + 0 + 18 + 9 + 20 + 589 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 717721686 + ... + 717724026.

Almost surely, 2^{1680189205896} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1680189205896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2450306258400).

1680189205896 is an abundant number, since it is smaller than the sum of its proper divisors (3220423310904).

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

1680189205896 is a wasteful number, since it uses less digits than its factorization.

1680189205896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2859 (or 2814 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 63.

The spelling of 1680189205896 in words is "one trillion, six hundred eighty billion, one hundred eighty-nine million, two hundred five thousand, eight hundred ninety-six".