27268092160 has 144 divisors (see below), whose sum is σ = 67791835440. Its totient is φ = 10496245760.

The previous prime is 27268092143. The next prime is 27268092169. The reversal of 27268092160 is 6129086272.

It can be written as a sum of positive squares in 8 ways, for example, as 753831936 + 26514260224 = 27456^2 + 162832^2 .

It is not an unprimeable number, because it can be changed into a prime (27268092169) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13102320 + ... + 13104400.

It is an arithmetic number, because the mean of its divisors is an integer number (470776635).

Almost surely, 2^27268092160 is an apocalyptic number.

27268092160 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 27268092160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33895917720).

27268092160 is an abundant number, since it is smaller than the sum of its proper divisors (40523743280).

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

27268092160 is a wasteful number, since it uses less digits than its factorization.

27268092160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2484 (or 2470 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 43.

The spelling of 27268092160 in words is "twenty-seven billion, two hundred sixty-eight million, ninety-two thousand, one hundred sixty".