8386560000000 has 1728 divisors, whose sum is σ = 37273362392448. Its totient is φ = 1769472000000.

The previous prime is 8386559999981. The next prime is 8386560000083. The reversal of 8386560000000 is 656838.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 8386560000000.

It is a congruent number.

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, 645119999994 + ... + 645120000006.

It is an arithmetic number, because the mean of its divisors is an integer number (21570232866).

Almost surely, 2^{8386560000000} is an apocalyptic number.

8386560000000 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 8386560000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18636681196224).

8386560000000 is an abundant number, since it is smaller than the sum of its proper divisors (28886802392448).

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

8386560000000 is an frugal number, since it uses more digits than its factorization.

8386560000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

Adding to 8386560000000 its reverse (656838), we get a palindrome (8386560656838).

The spelling of 8386560000000 in words is "eight trillion, three hundred eighty-six billion, five hundred sixty million", and thus it is an aban number.