27256945760 has 192 divisors, whose sum is σ = 71131737600. Its totient is φ = 9788006400.

The previous prime is 27256945759. The next prime is 27256945763. The reversal of 27256945760 is 6754965272.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27256945763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 75924461 + ... + 75924819.

It is an arithmetic number, because the mean of its divisors is an integer number (370477800).

Almost surely, 2^27256945760 is an apocalyptic number.

27256945760 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 27256945760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35565868800).

27256945760 is an abundant number, since it is smaller than the sum of its proper divisors (43874791840).

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

27256945760 is a wasteful number, since it uses less digits than its factorization.

27256945760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 805 (or 797 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 53.

The spelling of 27256945760 in words is "twenty-seven billion, two hundred fifty-six million, nine hundred forty-five thousand, seven hundred sixty".