685820805120 has 1224 divisors, whose sum is σ = 2786118575760. Its totient is φ = 160526499840.

The previous prime is 685820805119. The next prime is 685820805143. The reversal of 685820805120 is 21508028586.

685820805120 is a `hidden beast` number, since 6 + 8 + 58 + 2 + 0 + 80 + 512 + 0 = 666.

It is a super-3 number, since 3×685820805120³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 23648993266 + ... + 23648993294.

Almost surely, 2^685820805120 is an apocalyptic number.

685820805120 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 685820805120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1393059287880).

685820805120 is an abundant number, since it is smaller than the sum of its proper divisors (2100297770640).

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

685820805120 is an frugal number, since it uses more digits than its factorization.

685820805120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 45.

The spelling of 685820805120 in words is "six hundred eighty-five billion, eight hundred twenty million, eight hundred five thousand, one hundred twenty".