8126535168 has 320 divisors, whose sum is σ = 25573363200. Its totient is φ = 2542510080.

The previous prime is 8126535119. The next prime is 8126535187. The reversal of 8126535168 is 8615356218.

8126535168 is a `hidden beast` number, since 8 + 126 + 5 + 3 + 516 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19394863 + ... + 19395281.

It is an arithmetic number, because the mean of its divisors is an integer number (79916760).

Almost surely, 2^8126535168 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 8126535168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12786681600).

8126535168 is an abundant number, since it is smaller than the sum of its proper divisors (17446828032).

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

8126535168 is a wasteful number, since it uses less digits than its factorization.

8126535168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530 (or 508 counting only the distinct ones).

The product of its digits is 345600, while the sum is 45.

The square root of 8126535168 is about 90147.2970643047. The cubic root of 8126535168 is about 2010.4894864907.

The spelling of 8126535168 in words is "eight billion, one hundred twenty-six million, five hundred thirty-five thousand, one hundred sixty-eight".