2585586855852 has 648 divisors, whose sum is σ = 8930271168000. Its totient is φ = 617142240000.

The previous prime is 2585586855823. The next prime is 2585586855853.

2585586855852 is a `hidden beast` number, since 2 + 5 + 8 + 5 + 5 + 8 + 68 + 558 + 5 + 2 = 666.

2585586855852 is nontrivially palindromic in base 10.

2585586855852 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (2585586855853) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1293439149 + ... + 1293441147.

Almost surely, 2^{2585586855852} is an apocalyptic number.

2585586855852 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2585586855852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4465135584000).

2585586855852 is an abundant number, since it is smaller than the sum of its proper divisors (6344684312148).

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

2585586855852 is a wasteful number, since it uses less digits than its factorization.

2585586855852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2315 (or 2286 counting only the distinct ones).

The product of its digits is 1536000000, while the sum is 72.

The spelling of 2585586855852 in words is "two trillion, five hundred eighty-five billion, five hundred eighty-six million, eight hundred fifty-five thousand, eight hundred fifty-two".