6585115856 has 80 divisors (see below), whose sum is σ = 14270300928. Its totient is φ = 2918092800.

The previous prime is 6585115853. The next prime is 6585115861.

It is a happy number.

6585115856 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×6585115856² = 86727501673885225472, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6585115853) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2323016 + ... + 2325848.

Almost surely, 2^6585115856 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 6585115856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7135150464).

6585115856 is an abundant number, since it is smaller than the sum of its proper divisors (7685185072).

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

6585115856 is a wasteful number, since it uses less digits than its factorization.

6585115856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3180 (or 3174 counting only the distinct ones).

The product of its digits is 1440000, while the sum is 50.

The square root of 6585115856 is about 81148.7267675840. The cubic root of 6585115856 is about 1874.3663262889.

The spelling of 6585115856 in words is "six billion, five hundred eighty-five million, one hundred fifteen thousand, eight hundred fifty-six".