27780583617 has 6 divisors (see below), whose sum is σ = 40127509682. Its totient is φ = 18520389072.

The previous prime is 27780583613. The next prime is 27780583667. The reversal of 27780583617 is 71638508772.

27780583617 is a `hidden beast` number, since 277 + 8 + 0 + 5 + 8 + 361 + 7 = 666.

It can be written as a sum of positive squares in only one way, i.e., 27625431681 + 155151936 = 166209^2 + 12456^2 .

It is not a de Polignac number, because 27780583617 - 2² = 27780583613 is a prime.

It is a super-2 number, since 2×27780583617² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (27780583613) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1543365748 + ... + 1543365765.

Almost surely, 2^27780583617 is an apocalyptic number.

It is an amenable number.

27780583617 is a deficient number, since it is larger than the sum of its proper divisors (12346926065).

27780583617 is a wasteful number, since it uses less digits than its factorization.

27780583617 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3086731519 (or 3086731516 counting only the distinct ones).

The product of its (nonzero) digits is 3951360, while the sum is 54.

The spelling of 27780583617 in words is "twenty-seven billion, seven hundred eighty million, five hundred eighty-three thousand, six hundred seventeen".