8001288520 has 32 divisors (see below), whose sum is σ = 18093384000. Its totient is φ = 3184429248.

The previous prime is 8001288499. The next prime is 8001288521. The reversal of 8001288520 is 258821008.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (8001288521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 494634 + ... + 510553.

It is an arithmetic number, because the mean of its divisors is an integer number (565418250).

Almost surely, 2^8001288520 is an apocalyptic number.

It is an amenable number.

8001288520 is an abundant number, since it is smaller than the sum of its proper divisors (10092095480).

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

8001288520 is a wasteful number, since it uses less digits than its factorization.

8001288520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1005397 (or 1005393 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 34.

The square root of 8001288520 is about 89449.9218557512. The cubic root of 8001288520 is about 2000.1073709023.

The spelling of 8001288520 in words is "eight billion, one million, two hundred eighty-eight thousand, five hundred twenty".