27144256160 has 96 divisors (see below), whose sum is σ = 73350168192. Its totient is φ = 9298897920.

The previous prime is 27144256129. The next prime is 27144256199. The reversal of 27144256160 is 6165244172.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1436534 + ... + 1455306.

It is an arithmetic number, because the mean of its divisors is an integer number (764064252).

Almost surely, 2^27144256160 is an apocalyptic number.

27144256160 is a gapful number since it is divisible by the number (20) 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 27144256160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36675084096).

27144256160 is an abundant number, since it is smaller than the sum of its proper divisors (46205912032).

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

27144256160 is a wasteful number, since it uses less digits than its factorization.

27144256160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20086 (or 20078 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 38.

The spelling of 27144256160 in words is "twenty-seven billion, one hundred forty-four million, two hundred fifty-six thousand, one hundred sixty".