27012066561 has 48 divisors (see below), whose sum is σ = 40666080000. Its totient is φ = 17263217664.

The previous prime is 27012066541. The next prime is 27012066577. The reversal of 27012066561 is 16566021072.

It is a happy number.

27012066561 is a `hidden beast` number, since 2 + 70 + 1 + 20 + 6 + 6 + 561 = 666.

It is not a de Polignac number, because 27012066561 - 2⁹ = 27012066049 is a prime.

It is not an unprimeable number, because it can be changed into a prime (27012066541) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7718190 + ... + 7721688.

It is an arithmetic number, because the mean of its divisors is an integer number (847210000).

Almost surely, 2^27012066561 is an apocalyptic number.

It is an amenable number.

27012066561 is a deficient number, since it is larger than the sum of its proper divisors (13654013439).

27012066561 is a wasteful number, since it uses less digits than its factorization.

27012066561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3878 (or 3875 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 27012066561 in words is "twenty-seven billion, twelve million, sixty-six thousand, five hundred sixty-one".