27920621313 has 36 divisors (see below), whose sum is σ = 46239623820. Its totient is φ = 16171204608.

The previous prime is 27920621303. The next prime is 27920621387. The reversal of 27920621313 is 31312602972.

27920621313 is a `hidden beast` number, since 2 + 7 + 9 + 20 + 621 + 3 + 1 + 3 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 3902750784 + 24017870529 = 62472^2 + 154977^2 .

It is not a de Polignac number, because 27920621313 - 2⁶ = 27920621249 is a prime.

It is a super-2 number, since 2×27920621313² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (27920621303) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 514048 + ... + 565761.

It is an arithmetic number, because the mean of its divisors is an integer number (1284433995).

Almost surely, 2^27920621313 is an apocalyptic number.

It is an amenable number.

27920621313 is a deficient number, since it is larger than the sum of its proper divisors (18319002507).

27920621313 is a wasteful number, since it uses less digits than its factorization.

27920621313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1079858 (or 1079842 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The spelling of 27920621313 in words is "twenty-seven billion, nine hundred twenty million, six hundred twenty-one thousand, three hundred thirteen".