27920658361 has 16 divisors (see below), whose sum is σ = 28443214800. Its totient is φ = 27404179200.

The previous prime is 27920658349. The next prime is 27920658401. The reversal of 27920658361 is 16385602972.

It can be written as a sum of positive squares in 8 ways, for example, as 3730766400 + 24189891961 = 61080^2 + 155531^2 .

It is a cyclic number.

It is not a de Polignac number, because 27920658361 - 2⁵ = 27920658329 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (27920658331) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5304471 + ... + 5309731.

It is an arithmetic number, because the mean of its divisors is an integer number (1777700925).

Almost surely, 2^27920658361 is an apocalyptic number.

It is an amenable number.

27920658361 is a deficient number, since it is larger than the sum of its proper divisors (522556439).

27920658361 is a wasteful number, since it uses less digits than its factorization.

27920658361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5820.

The product of its (nonzero) digits is 1088640, while the sum is 49.

The spelling of 27920658361 in words is "twenty-seven billion, nine hundred twenty million, six hundred fifty-eight thousand, three hundred sixty-one".