27256865272 has 128 divisors (see below), whose sum is σ = 68226157440. Its totient is φ = 9900933120.

The previous prime is 27256865243. The next prime is 27256865329.

27256865272 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (52).

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, 480558 + ... + 534274.

It is an arithmetic number, because the mean of its divisors is an integer number (533016855).

Almost surely, 2^27256865272 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 27256865272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34113078720).

27256865272 is an abundant number, since it is smaller than the sum of its proper divisors (40969292168).

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

27256865272 is a wasteful number, since it uses less digits than its factorization.

27256865272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53801 (or 53797 counting only the distinct ones).

The product of its digits is 5644800, while the sum is 52.

The spelling of 27256865272 in words is "twenty-seven billion, two hundred fifty-six million, eight hundred sixty-five thousand, two hundred seventy-two".