27248061568 has 256 divisors, whose sum is σ = 70189056000. Its totient is φ = 10246901760.

The previous prime is 27248061563. The next prime is 27248061569. The reversal of 27248061568 is 86516084272.

It is not an unprimeable number, because it can be changed into a prime (27248061563) 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 31 ways as a sum of consecutive naturals, for example, 21303553 + ... + 21304831.

It is an arithmetic number, because the mean of its divisors is an integer number (274176000).

Almost surely, 2^27248061568 is an apocalyptic number.

27248061568 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 27248061568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35094528000).

27248061568 is an abundant number, since it is smaller than the sum of its proper divisors (42940994432).

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

27248061568 is a wasteful number, since it uses less digits than its factorization.

27248061568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1403 (or 1391 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 49.

The spelling of 27248061568 in words is "twenty-seven billion, two hundred forty-eight million, sixty-one thousand, five hundred sixty-eight".