27461117206105 has 16 divisors (see below), whose sum is σ = 35952321225600. Its totient is φ = 19969931416960.

The previous prime is 27461117206099. The next prime is 27461117206121. The reversal of 27461117206105 is 50160271116472.

It is not a de Polignac number, because 27461117206105 - 2³ = 27461117206097 is a prime.

It is a super-2 number, since 2×27461117206105² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21758020 + ... + 22985509.

It is an arithmetic number, because the mean of its divisors is an integer number (2247020076600).

Almost surely, 2^{27461117206105} is an apocalyptic number.

It is an amenable number.

27461117206105 is a deficient number, since it is larger than the sum of its proper divisors (8491204019495).

27461117206105 is a wasteful number, since it uses less digits than its factorization.

27461117206105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44754704.

The product of its (nonzero) digits is 141120, while the sum is 43.

The spelling of 27461117206105 in words is "twenty-seven trillion, four hundred sixty-one billion, one hundred seventeen million, two hundred six thousand, one hundred five".