8085735516007 has 16 divisors (see below), whose sum is σ = 8206919391744. Its totient is φ = 7964757108000.

The previous prime is 8085735515939. The next prime is 8085735516071. The reversal of 8085735516007 is 7006155375808.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-8085735516007 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8085735516107) 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, 760575582 + ... + 760586212.

It is an arithmetic number, because the mean of its divisors is an integer number (512932461984).

Almost surely, 2^{8085735516007} is an apocalyptic number.

8085735516007 is a deficient number, since it is larger than the sum of its proper divisors (121183875737).

8085735516007 is a wasteful number, since it uses less digits than its factorization.

8085735516007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19230.

The product of its (nonzero) digits is 7056000, while the sum is 55.

The spelling of 8085735516007 in words is "eight trillion, eighty-five billion, seven hundred thirty-five million, five hundred sixteen thousand, seven".