8386265986560 has 1440 divisors, whose sum is σ = 37168582692384. Its totient is φ = 1742288486400.

The previous prime is 8386265986513. The next prime is 8386265986619. The reversal of 8386265986560 is 656895626838.

8386265986560 is a `hidden beast` number, since 8 + 3 + 8 + 6 + 2 + 6 + 59 + 8 + 6 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1502642970 + ... + 1502648550.

Almost surely, 2^{8386265986560} is an apocalyptic number.

8386265986560 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 8386265986560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18584291346192).

8386265986560 is an abundant number, since it is smaller than the sum of its proper divisors (28782316705824).

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

8386265986560 is a wasteful number, since it uses less digits than its factorization.

8386265986560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5657 (or 5609 counting only the distinct ones).

The product of its (nonzero) digits is 895795200, while the sum is 72.

The spelling of 8386265986560 in words is "eight trillion, three hundred eighty-six billion, two hundred sixty-five million, nine hundred eighty-six thousand, five hundred sixty".