27131465214 has 512 divisors, whose sum is σ = 79949721600. Its totient is φ = 6642155520.

The previous prime is 27131465213. The next prime is 27131465239. The reversal of 27131465214 is 41256413172.

27131465214 is a `hidden beast` number, since 2 + 71 + 314 + 65 + 214 = 666.

It is a super-2 number, since 2×27131465214² (a number of 22 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27131465213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 404947209 + ... + 404947275.

It is an arithmetic number, because the mean of its divisors is an integer number (156151800).

Almost surely, 2^27131465214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27131465214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39974860800).

27131465214 is an abundant number, since it is smaller than the sum of its proper divisors (52818256386).

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

27131465214 is a wasteful number, since it uses less digits than its factorization.

27131465214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 219 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

Adding to 27131465214 its reverse (41256413172), we get a palindrome (68387878386).

The spelling of 27131465214 in words is "twenty-seven billion, one hundred thirty-one million, four hundred sixty-five thousand, two hundred fourteen".