8066586923856 has 480 divisors, whose sum is σ = 24507006451200. Its totient is φ = 2467713024000.

The previous prime is 8066586923851. The next prime is 8066586923897. The reversal of 8066586923856 is 6583296856608.

8066586923856 is a `hidden beast` number, since 8 + 0 + 6 + 6 + 586 + 9 + 2 + 38 + 5 + 6 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8066586923851) 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, 7689786820 + ... + 7689787868.

It is an arithmetic number, because the mean of its divisors is an integer number (51056263440).

Almost surely, 2^{8066586923856} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8066586923856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12253503225600).

8066586923856 is an abundant number, since it is smaller than the sum of its proper divisors (16440419527344).

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

8066586923856 is a wasteful number, since it uses less digits than its factorization.

8066586923856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1595 (or 1586 counting only the distinct ones).

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

The spelling of 8066586923856 in words is "eight trillion, sixty-six billion, five hundred eighty-six million, nine hundred twenty-three thousand, eight hundred fifty-six".