27658435345 has 8 divisors (see below), whose sum is σ = 35142482664. Its totient is φ = 20825174784.

The previous prime is 27658435339. The next prime is 27658435349. The reversal of 27658435345 is 54353485672.

It can be written as a sum of positive squares in 4 ways, for example, as 4712547904 + 22945887441 = 68648^2 + 151479^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 27658435345 - 2⁵ = 27658435313 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 27658435292 and 27658435301.

It is not an unprimeable number, because it can be changed into a prime (27658435349) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 162696594 + ... + 162696763.

It is an arithmetic number, because the mean of its divisors is an integer number (4392810333).

Almost surely, 2^27658435345 is an apocalyptic number.

It is an amenable number.

27658435345 is a deficient number, since it is larger than the sum of its proper divisors (7484047319).

27658435345 is a wasteful number, since it uses less digits than its factorization.

27658435345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325393379.

The product of its digits is 12096000, while the sum is 52.

The spelling of 27658435345 in words is "twenty-seven billion, six hundred fifty-eight million, four hundred thirty-five thousand, three hundred forty-five".