685735056300 has 576 divisors, whose sum is σ = 2385297331200. Its totient is φ = 148843008000.

The previous prime is 685735056283. The next prime is 685735056353. The reversal of 685735056300 is 3650537586.

It is a self number, because there is not a number n which added to its sum of digits gives 685735056300.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 706214815 + ... + 706215785.

It is an arithmetic number, because the mean of its divisors is an integer number (4141141200).

Almost surely, 2^685735056300 is an apocalyptic number.

685735056300 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 685735056300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1192648665600).

685735056300 is an abundant number, since it is smaller than the sum of its proper divisors (1699562274900).

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

685735056300 is a wasteful number, since it uses less digits than its factorization.

685735056300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1242 (or 1235 counting only the distinct ones).

The product of its (nonzero) digits is 2268000, while the sum is 48.

The spelling of 685735056300 in words is "six hundred eighty-five billion, seven hundred thirty-five million, fifty-six thousand, three hundred".