1686585199680 has 168 divisors, whose sum is σ = 5815766755032. Its totient is φ = 448622862336.

The previous prime is 1686585199669. The next prime is 1686585199709. The reversal of 1686585199680 is 869915856861.

1686585199680 is a `hidden beast` number, since 16 + 8 + 6 + 5 + 8 + 519 + 96 + 8 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 421554129984 + 1265031069696 = 649272^2 + 1124736^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 1686585199599 and 1686585199608.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 405804 + ... + 1880916.

Almost surely, 2^{1686585199680} is an apocalyptic number.

1686585199680 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 1686585199680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2907883377516).

1686585199680 is an abundant number, since it is smaller than the sum of its proper divisors (4129181555352).

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

1686585199680 is a wasteful number, since it uses less digits than its factorization.

1686585199680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1475533 (or 1475520 counting only the distinct ones).

The product of its (nonzero) digits is 223948800, while the sum is 72.

The spelling of 1686585199680 in words is "one trillion, six hundred eighty-six billion, five hundred eighty-five million, one hundred ninety-nine thousand, six hundred eighty".