27456213121 has 8 divisors (see below), whose sum is σ = 27976993704. Its totient is φ = 26935534080.

The previous prime is 27456213091. The next prime is 27456213139. The reversal of 27456213121 is 12131265472.

It can be written as a sum of positive squares in 4 ways, for example, as 22850554896 + 4605658225 = 151164^2 + 67865^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 27456213121 - 2¹³ = 27456204929 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (27456213221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 733111 + ... + 769651.

It is an arithmetic number, because the mean of its divisors is an integer number (3497124213).

Almost surely, 2^27456213121 is an apocalyptic number.

It is an amenable number.

27456213121 is a deficient number, since it is larger than the sum of its proper divisors (520780583).

27456213121 is a wasteful number, since it uses less digits than its factorization.

27456213121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50771.

The product of its digits is 20160, while the sum is 34.

Adding to 27456213121 its reverse (12131265472), we get a palindrome (39587478593).

The spelling of 27456213121 in words is "twenty-seven billion, four hundred fifty-six million, two hundred thirteen thousand, one hundred twenty-one".