8585358012 has 648 divisors, whose sum is σ = 30630272400. Its totient is φ = 2011806720.

The previous prime is 8585358007. The next prime is 8585358049. The reversal of 8585358012 is 2108535858.

8585358012 is a `hidden beast` number, since 8 + 5 + 8 + 53 + 580 + 12 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 117607608 + ... + 117607680.

Almost surely, 2^8585358012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8585358012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15315136200).

8585358012 is an abundant number, since it is smaller than the sum of its proper divisors (22044914388).

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

8585358012 is a wasteful number, since it uses less digits than its factorization.

8585358012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 384000, while the sum is 45.

The square root of 8585358012 is about 92657.2070159683. The cubic root of 8585358012 is about 2047.6362214870.

The spelling of 8585358012 in words is "eight billion, five hundred eighty-five million, three hundred fifty-eight thousand, twelve".