27642738593313 has 48 divisors (see below), whose sum is σ = 41977806911040. Its totient is φ = 17512416940032.

The previous prime is 27642738593303. The next prime is 27642738593317. The reversal of 27642738593313 is 31339583724672.

It is a happy number.

27642738593313 is a `hidden beast` number, since 2 + 7 + 6 + 4 + 2 + 7 + 3 + 8 + 593 + 31 + 3 = 666.

It is not a de Polignac number, because 27642738593313 - 2⁴ = 27642738593297 is a prime.

It is not an unprimeable number, because it can be changed into a prime (27642738593317) 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 47 ways as a sum of consecutive naturals, for example, 4025656 + ... + 8455257.

It is an arithmetic number, because the mean of its divisors is an integer number (874537643980).

Almost surely, 2^{27642738593313} is an apocalyptic number.

It is an amenable number.

27642738593313 is a deficient number, since it is larger than the sum of its proper divisors (14335068317727).

27642738593313 is a wasteful number, since it uses less digits than its factorization.

27642738593313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12481118 (or 12481115 counting only the distinct ones).

The product of its digits is 137168640, while the sum is 63.

The spelling of 27642738593313 in words is "twenty-seven trillion, six hundred forty-two billion, seven hundred thirty-eight million, five hundred ninety-three thousand, three hundred thirteen".