26585828920 has 128 divisors (see below), whose sum is σ = 69382195200. Its totient is φ = 8979849216.

The previous prime is 26585828911. The next prime is 26585828953. The reversal of 26585828920 is 2982858562.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12762199 + ... + 12764281.

It is an arithmetic number, because the mean of its divisors is an integer number (542048400).

Almost surely, 2^26585828920 is an apocalyptic number.

26585828920 is a gapful number since it is divisible by the number (20) 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 26585828920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34691097600).

26585828920 is an abundant number, since it is smaller than the sum of its proper divisors (42796366280).

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

26585828920 is a wasteful number, since it uses less digits than its factorization.

26585828920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2757 (or 2753 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 55.

The spelling of 26585828920 in words is "twenty-six billion, five hundred eighty-five million, eight hundred twenty-eight thousand, nine hundred twenty".