27460653672321 has 32 divisors (see below), whose sum is σ = 42661803936000. Its totient is φ = 17433688454784.

The previous prime is 27460653672301. The next prime is 27460653672323. The reversal of 27460653672321 is 12327635606472.

27460653672321 is a `hidden beast` number, since 2 + 7 + 4 + 6 + 0 + 6 + 536 + 72 + 32 + 1 = 666.

It is not a de Polignac number, because 27460653672321 - 2¹⁴ = 27460653655937 is a prime.

It is a super-2 number, since 2×27460653672321² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (27460653672323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 240155701 + ... + 240270018.

It is an arithmetic number, because the mean of its divisors is an integer number (1333181373000).

Almost surely, 2^{27460653672321} is an apocalyptic number.

It is an amenable number.

27460653672321 is a deficient number, since it is larger than the sum of its proper divisors (15201150263679).

27460653672321 is a wasteful number, since it uses less digits than its factorization.

27460653672321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480425830 (or 480425824 counting only the distinct ones).

The product of its (nonzero) digits is 15240960, while the sum is 54.

The spelling of 27460653672321 in words is "twenty-seven trillion, four hundred sixty billion, six hundred fifty-three million, six hundred seventy-two thousand, three hundred twenty-one".