8005863000096 has 432 divisors, whose sum is σ = 25655154452928. Its totient is φ = 2444429145600.

The previous prime is 8005863000071. The next prime is 8005863000137. The reversal of 8005863000096 is 6900003685008.

8005863000096 is a `hidden beast` number, since 8 + 0 + 0 + 5 + 8 + 630 + 0 + 0 + 0 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×8005863000096² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 357537061 + ... + 357559451.

It is an arithmetic number, because the mean of its divisors is an integer number (59386931604).

Almost surely, 2^{8005863000096} 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 8005863000096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12827577226464).

8005863000096 is an abundant number, since it is smaller than the sum of its proper divisors (17649291452832).

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

8005863000096 is a wasteful number, since it uses less digits than its factorization.

8005863000096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22569 (or 22540 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 8005863000096 in words is "eight trillion, five billion, eight hundred sixty-three million, ninety-six", and thus it is an aban number.