8085735516006 has 256 divisors, whose sum is σ = 19039181414400. Its totient is φ = 2541035059200.

The previous prime is 8085735515939. The next prime is 8085735516071. The reversal of 8085735516006 is 6006155375808.

8085735516006 is a `hidden beast` number, since 8 + 0 + 8 + 573 + 5 + 5 + 1 + 60 + 0 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1959226315 + ... + 1959230441.

It is an arithmetic number, because the mean of its divisors is an integer number (74371802400).

Almost surely, 2^{8085735516006} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8085735516006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9519590707200).

8085735516006 is an abundant number, since it is smaller than the sum of its proper divisors (10953445898394).

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

8085735516006 is a wasteful number, since it uses less digits than its factorization.

8085735516006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4492 (or 4486 counting only the distinct ones).

The product of its (nonzero) digits is 6048000, while the sum is 54.

The spelling of 8085735516006 in words is "eight trillion, eighty-five billion, seven hundred thirty-five million, five hundred sixteen thousand, six".