8686258560 has 768 divisors, whose sum is σ = 36355737600. Its totient is φ = 1940889600.

The previous prime is 8686258549. The next prime is 8686258561. The reversal of 8686258560 is 658526868.

8686258560 is a `hidden beast` number, since 8 + 6 + 8 + 625 + 8 + 5 + 6 + 0 = 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 = 8686258497 and 8686258506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8686258561) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 86002510 + ... + 86002610.

It is an arithmetic number, because the mean of its divisors is an integer number (47338200).

Almost surely, 2^8686258560 is an apocalyptic number.

8686258560 is a gapful number since it is divisible by the number (80) 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 8686258560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18177868800).

8686258560 is an abundant number, since it is smaller than the sum of its proper divisors (27669479040).

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

8686258560 is a wasteful number, since it uses less digits than its factorization.

8686258560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 54.

The square root of 8686258560 is about 93200.0995707623. The cubic root of 8686258560 is about 2055.6267042700.

The spelling of 8686258560 in words is "eight billion, six hundred eighty-six million, two hundred fifty-eight thousand, five hundred sixty".