685587585785586 has 96 divisors (see below), whose sum is σ = 1515945424593600. Its totient is φ = 206542836973440.

The previous prime is 685587585785561. The next prime is 685587585785587.

685587585785586 is nontrivially palindromic in base 10.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 685587585785493 and 685587585785502.

It is not an unprimeable number, because it can be changed into a prime (685587585785587) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2806867581 + ... + 2807111823.

It is an arithmetic number, because the mean of its divisors is an integer number (15791098172850).

Almost surely, 2^{685587585785586} is an apocalyptic number.

685587585785586 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 685587585785586, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (757972712296800).

685587585785586 is an abundant number, since it is smaller than the sum of its proper divisors (830357838808014).

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

685587585785586 is a wasteful number, since it uses less digits than its factorization.

685587585785586 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266792 (or 266781 counting only the distinct ones).

The product of its digits is 903168000000, while the sum is 96.

The spelling of 685587585785586 in words is "six hundred eighty-five trillion, five hundred eighty-seven billion, five hundred eighty-five million, seven hundred eighty-five thousand, five hundred eighty-six".