686505859650 has 1152 divisors, whose sum is σ = 2300424192000. Its totient is φ = 149788154880.

The previous prime is 686505859601. The next prime is 686505859657. The reversal of 686505859650 is 56958505686.

686505859650 is a `hidden beast` number, since 68 + 6 + 505 + 8 + 5 + 9 + 65 + 0 = 666.

686505859650 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (686505859657) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 5405557887 + ... + 5405558013.

It is an arithmetic number, because the mean of its divisors is an integer number (1996896000).

Almost surely, 2^686505859650 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 686505859650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1150212096000).

686505859650 is an abundant number, since it is smaller than the sum of its proper divisors (1613918332350).

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

686505859650 is a wasteful number, since it uses less digits than its factorization.

686505859650 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 77760000, while the sum is 63.

The spelling of 686505859650 in words is "six hundred eighty-six billion, five hundred five million, eight hundred fifty-nine thousand, six hundred fifty".