27456795136 has 80 divisors (see below), whose sum is σ = 55467387360. Its totient is φ = 13577175040.

The previous prime is 27456794971. The next prime is 27456795161. The reversal of 27456795136 is 63159765472.

It is a happy number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 28102680 + ... + 28103656.

It is an arithmetic number, because the mean of its divisors is an integer number (693342342).

Almost surely, 2^27456795136 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 27456795136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27733693680).

27456795136 is an abundant number, since it is smaller than the sum of its proper divisors (28010592224).

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

27456795136 is an equidigital number, since it uses as much as digits as its factorization.

27456795136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1545 (or 1529 counting only the distinct ones).

The product of its digits is 9525600, while the sum is 55.

The spelling of 27456795136 in words is "twenty-seven billion, four hundred fifty-six million, seven hundred ninety-five thousand, one hundred thirty-six".