1685885819904 has 1232 divisors, whose sum is σ = 6292203210720. Its totient is φ = 443358904320.

The previous prime is 1685885819897. The next prime is 1685885819923. The reversal of 1685885819904 is 4099185885861.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 1814731312 + ... + 1814732240.

Almost surely, 2^{1685885819904} 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 1685885819904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3146101605360).

1685885819904 is an abundant number, since it is smaller than the sum of its proper divisors (4606317390816).

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

1685885819904 is a wasteful number, since it uses less digits than its factorization.

1685885819904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1008 (or 975 counting only the distinct ones).

The product of its (nonzero) digits is 199065600, while the sum is 72.

The spelling of 1685885819904 in words is "one trillion, six hundred eighty-five billion, eight hundred eighty-five million, eight hundred nineteen thousand, nine hundred four".