27257088768 has 576 divisors, whose sum is σ = 96347553792. Its totient is φ = 6642155520.

The previous prime is 27257088751. The next prime is 27257088769. The reversal of 27257088768 is 86788075272.

It is not an unprimeable number, because it can be changed into a prime (27257088769) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 49829871 + ... + 49830417.

Almost surely, 2^27257088768 is an apocalyptic number.

27257088768 is a gapful number since it is divisible by the number (28) 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 27257088768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48173776896).

27257088768 is an abundant number, since it is smaller than the sum of its proper divisors (69090465024).

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

27257088768 is a wasteful number, since it uses less digits than its factorization.

27257088768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 640 (or 626 counting only the distinct ones).

The product of its (nonzero) digits is 21073920, while the sum is 60.

The spelling of 27257088768 in words is "twenty-seven billion, two hundred fifty-seven million, eighty-eight thousand, seven hundred sixty-eight".