27279097272 has 256 divisors, whose sum is σ = 88692019200. Its totient is φ = 7608038400.

The previous prime is 27279097267. The next prime is 27279097319.

27279097272 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11146753 + ... + 11149199.

It is an arithmetic number, because the mean of its divisors is an integer number (346453200).

Almost surely, 2^27279097272 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 27279097272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44346009600).

27279097272 is an abundant number, since it is smaller than the sum of its proper divisors (61412921928).

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

27279097272 is a wasteful number, since it uses less digits than its factorization.

27279097272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2643 (or 2633 counting only the distinct ones).

The product of its (nonzero) digits is 3111696, while the sum is 54.

The spelling of 27279097272 in words is "twenty-seven billion, two hundred seventy-nine million, ninety-seven thousand, two hundred seventy-two".