685857028200 has 384 divisors, whose sum is σ = 2200629150720. Its totient is φ = 176593868800.

The previous prime is 685857028183. The next prime is 685857028217. The reversal of 685857028200 is 2820758586.

It is an interprime number because it is at equal distance from previous prime (685857028183) and next prime (685857028217).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1468644367 + ... + 1468644833.

It is an arithmetic number, because the mean of its divisors is an integer number (5730805080).

Almost surely, 2^685857028200 is an apocalyptic number.

685857028200 is a gapful number since it is divisible by the number (60) 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 685857028200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1100314575360).

685857028200 is an abundant number, since it is smaller than the sum of its proper divisors (1514772122520).

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

685857028200 is a wasteful number, since it uses less digits than its factorization.

685857028200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1017 (or 1008 counting only the distinct ones).

The product of its (nonzero) digits is 2150400, while the sum is 51.

The spelling of 685857028200 in words is "six hundred eighty-five billion, eight hundred fifty-seven million, twenty-eight thousand, two hundred".