27955460817 has 12 divisors (see below), whose sum is σ = 42505379280. Its totient is φ = 17656080408.

The previous prime is 27955460737. The next prime is 27955460849. The reversal of 27955460817 is 71806455972.

27955460817 is a `hidden beast` number, since 2 + 7 + 9 + 554 + 6 + 0 + 81 + 7 = 666.

It is not a de Polignac number, because 27955460817 - 2¹⁵ = 27955428049 is a prime.

It is not an unprimeable number, because it can be changed into a prime (27955460857) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 81740943 + ... + 81741284.

It is an arithmetic number, because the mean of its divisors is an integer number (3542114940).

Almost surely, 2^27955460817 is an apocalyptic number.

It is an amenable number.

27955460817 is a deficient number, since it is larger than the sum of its proper divisors (14549918463).

27955460817 is a wasteful number, since it uses less digits than its factorization.

27955460817 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163482252 (or 163482249 counting only the distinct ones).

The product of its (nonzero) digits is 4233600, while the sum is 54.

The spelling of 27955460817 in words is "twenty-seven billion, nine hundred fifty-five million, four hundred sixty thousand, eight hundred seventeen".