27013949568 has 192 divisors, whose sum is σ = 81609465600. Its totient is φ = 8565811200.

The previous prime is 27013949563. The next prime is 27013949593. The reversal of 27013949568 is 86594931072.

27013949568 is a `hidden beast` number, since 2 + 7 + 0 + 1 + 39 + 49 + 568 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (27013949563) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2100598 + ... + 2113418.

It is an arithmetic number, because the mean of its divisors is an integer number (425049300).

It is a 2-persistent number, because it is pandigital, and so is 2⋅27013949568 = 54027899136, but 3⋅27013949568 = 81041848704 is not.

Almost surely, 2^27013949568 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 27013949568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40804732800).

27013949568 is an abundant number, since it is smaller than the sum of its proper divisors (54595516032).

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

27013949568 is a wasteful number, since it uses less digits than its factorization.

27013949568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12931 (or 12916 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 27013949568 in words is "twenty-seven billion, thirteen million, nine hundred forty-nine thousand, five hundred sixty-eight".