8001430886268 has 48 divisors (see below), whose sum is σ = 20759559680160. Its totient is φ = 2665201012992.

The previous prime is 8001430886261. The next prime is 8001430886297. The reversal of 8001430886268 is 8626880341008.

8001430886268 is a `hidden beast` number, since 8 + 0 + 0 + 1 + 4 + 3 + 0 + 8 + 8 + 626 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8001430886261) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26831805 + ... + 27128372.

It is an arithmetic number, because the mean of its divisors is an integer number (432490826670).

Almost surely, 2^{8001430886268} is an apocalyptic number.

It is an amenable number.

8001430886268 is an abundant number, since it is smaller than the sum of its proper divisors (12758128793892).

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

8001430886268 is a wasteful number, since it uses less digits than its factorization.

8001430886268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53961563 (or 53961555 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 54.

The spelling of 8001430886268 in words is "eight trillion, one billion, four hundred thirty million, eight hundred eighty-six thousand, two hundred sixty-eight".