8005016085 has 32 divisors (see below), whose sum is σ = 14110761600. Its totient is φ = 3842784000.

The previous prime is 8005016053. The next prime is 8005016087. The reversal of 8005016085 is 5806105008.

It is not a de Polignac number, because 8005016085 - 2⁵ = 8005016053 is a prime.

It is a super-2 number, since 2×8005016085² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8005016087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 223510 + ... + 256839.

It is an arithmetic number, because the mean of its divisors is an integer number (440961300).

Almost surely, 2^8005016085 is an apocalyptic number.

It is an amenable number.

8005016085 is a deficient number, since it is larger than the sum of its proper divisors (6105745515).

8005016085 is a wasteful number, since it uses less digits than its factorization.

8005016085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480469.

The product of its (nonzero) digits is 9600, while the sum is 33.

The square root of 8005016085 is about 89470.7554735065. The cubic root of 8005016085 is about 2000.4179197488.

The spelling of 8005016085 in words is "eight billion, five million, sixteen thousand, eighty-five".