8085735516005 has 32 divisors (see below), whose sum is σ = 11104732205568. Its totient is φ = 5536644422400.

The previous prime is 8085735515939. The next prime is 8085735516071. The reversal of 8085735516005 is 5006155375808.

It is an interprime number because it is at equal distance from previous prime (8085735515939) and next prime (8085735516071).

It is a de Polignac number, because none of the positive numbers 2^k-8085735516005 is a prime.

It is a super-2 number, since 2×8085735516005² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 320075075 + ... + 320100335.

It is an arithmetic number, because the mean of its divisors is an integer number (347022881424).

Almost surely, 2^{8085735516005} is an apocalyptic number.

It is an amenable number.

8085735516005 is a deficient number, since it is larger than the sum of its proper divisors (3018996689563).

8085735516005 is a wasteful number, since it uses less digits than its factorization.

8085735516005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37877.

The product of its (nonzero) digits is 5040000, while the sum is 53.

The spelling of 8085735516005 in words is "eight trillion, eighty-five billion, seven hundred thirty-five million, five hundred sixteen thousand, five".