686286412560 has 480 divisors, whose sum is σ = 2745424281600. Its totient is φ = 156071038464.

The previous prime is 686286412531. The next prime is 686286412573. The reversal of 686286412560 is 65214682686.

686286412560 is a `hidden beast` number, since 6 + 8 + 6 + 2 + 8 + 64 + 12 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 686286412497 and 686286412506.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27067249 + ... + 27092591.

It is an arithmetic number, because the mean of its divisors is an integer number (5719633920).

Almost surely, 2^686286412560 is an apocalyptic number.

686286412560 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 686286412560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1372712140800).

686286412560 is an abundant number, since it is smaller than the sum of its proper divisors (2059137869040).

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

686286412560 is a wasteful number, since it uses less digits than its factorization.

686286412560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25577 (or 25559 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 686286412560 in words is "six hundred eighty-six billion, two hundred eighty-six million, four hundred twelve thousand, five hundred sixty".