27248061567 has 48 divisors (see below), whose sum is σ = 40593208320. Its totient is φ = 16198930176.

The previous prime is 27248061563. The next prime is 27248061569. The reversal of 27248061567 is 76516084272.

It is not a de Polignac number, because 27248061567 - 2² = 27248061563 is a prime.

It is a congruent number.

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 (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2882034 + ... + 2891472.

It is an arithmetic number, because the mean of its divisors is an integer number (845691840).

Almost surely, 2^27248061567 is an apocalyptic number.

27248061567 is a deficient number, since it is larger than the sum of its proper divisors (13345146753).

27248061567 is a wasteful number, since it uses less digits than its factorization.

27248061567 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9612 (or 9589 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 48.

The spelling of 27248061567 in words is "twenty-seven billion, two hundred forty-eight million, sixty-one thousand, five hundred sixty-seven".