27420379281 has 21 divisors (see below), whose sum is σ = 41118466539. Its totient is φ = 18277272216.

The previous prime is 27420379271. The next prime is 27420379297. The reversal of 27420379281 is 18297302472.

The square root of 27420379281 is 165591.

It is a perfect power (a square), and thus also a powerful number.

27420379281 is a `hidden beast` number, since 274 + 2 + 0 + 379 + 2 + 8 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 26551073025 + 869306256 = 162945^2 + 29484^2 .

It is not a de Polignac number, because 27420379281 - 2¹³ = 27420371089 is a prime.

It is a super-2 number, since 2×27420379281² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (27420379201) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 4467891 + ... + 4474023.

Almost surely, 2^27420379281 is an apocalyptic number.

27420379281 is the 165591-st square number.

27420379281 is the 82796-th centered octagonal number.

It is an amenable number.

27420379281 is a deficient number, since it is larger than the sum of its proper divisors (13698087258).

27420379281 is an frugal number, since it uses more digits than its factorization.

27420379281 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12284 (or 6136 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 27420379281 in words is "twenty-seven billion, four hundred twenty million, three hundred seventy-nine thousand, two hundred eighty-one".