27137329122753 has 24 divisors (see below), whose sum is σ = 41523572612808. Its totient is φ = 17019375685632.

The previous prime is 27137329122751. The next prime is 27137329122803. The reversal of 27137329122753 is 35722192373172.

27137329122753 is a `hidden beast` number, since 2 + 7 + 1 + 37 + 329 + 12 + 275 + 3 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 8052558316209 + 19084770806544 = 2837703^2 + 4368612^2 .

It is not a de Polignac number, because 27137329122753 - 2¹ = 27137329122751 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 27137329122753.

It is not an unprimeable number, because it can be changed into a prime (27137329122751) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41172376 + ... + 41826297.

It is an arithmetic number, because the mean of its divisors is an integer number (1730148858867).

Almost surely, 2^{27137329122753} is an apocalyptic number.

It is an amenable number.

27137329122753 is a deficient number, since it is larger than the sum of its proper divisors (14386243490055).

27137329122753 is a wasteful number, since it uses less digits than its factorization.

27137329122753 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83000833 (or 83000830 counting only the distinct ones).

The product of its digits is 6667920, while the sum is 54.

The spelling of 27137329122753 in words is "twenty-seven trillion, one hundred thirty-seven billion, three hundred twenty-nine million, one hundred twenty-two thousand, seven hundred fifty-three".