27266388864 has 256 divisors, whose sum is σ = 88791897600. Its totient is φ = 7295016960.

The previous prime is 27266388833. The next prime is 27266388889. The reversal of 27266388864 is 46888366272.

It is a junction number, because it is equal to n+sod(n) for n = 27266388798 and 27266388807.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1252182 + ... + 1273770.

It is an arithmetic number, because the mean of its divisors is an integer number (346843350).

Almost surely, 2^27266388864 is an apocalyptic number.

27266388864 is a gapful number since it is divisible by the number (24) 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 27266388864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44395948800).

27266388864 is an abundant number, since it is smaller than the sum of its proper divisors (61525508736).

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

27266388864 is a wasteful number, since it uses less digits than its factorization.

27266388864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21653 (or 21641 counting only the distinct ones).

The product of its digits is 37158912, while the sum is 60.

The spelling of 27266388864 in words is "twenty-seven billion, two hundred sixty-six million, three hundred eighty-eight thousand, eight hundred sixty-four".