27130664592 has 120 divisors (see below), whose sum is σ = 76974370200. Its totient is φ = 8919465984.

The previous prime is 27130664569. The next prime is 27130664621. The reversal of 27130664592 is 29546603172.

27130664592 is a `hidden beast` number, since 2 + 7 + 130 + 66 + 459 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 312016896 + 26818647696 = 17664^2 + 163764^2 .

It is a super-2 number, since 2×27130664592² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5546884 + ... + 5551772.

It is an arithmetic number, because the mean of its divisors is an integer number (641453085).

Almost surely, 2^27130664592 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 27130664592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38487185100).

27130664592 is an abundant number, since it is smaller than the sum of its proper divisors (49843705608).

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

27130664592 is a wasteful number, since it uses less digits than its factorization.

27130664592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5425 (or 5416 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 27130664592 in words is "twenty-seven billion, one hundred thirty million, six hundred sixty-four thousand, five hundred ninety-two".