1686116328600 has 192 divisors, whose sum is σ = 5727044160000. Its totient is φ = 406970150400.

The previous prime is 1686116328581. The next prime is 1686116328613. The reversal of 1686116328600 is 68236116861.

It is a self number, because there is not a number n which added to its sum of digits gives 1686116328600.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 953601 + ... + 2069199.

It is an arithmetic number, because the mean of its divisors is an integer number (29828355000).

Almost surely, 2^{1686116328600} is an apocalyptic number.

1686116328600 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 1686116328600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2863522080000).

1686116328600 is an abundant number, since it is smaller than the sum of its proper divisors (4040927831400).

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

1686116328600 is a wasteful number, since it uses less digits than its factorization.

1686116328600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1115858 (or 1115849 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 48.

The spelling of 1686116328600 in words is "one trillion, six hundred eighty-six billion, one hundred sixteen million, three hundred twenty-eight thousand, six hundred".