27642561245 has 8 divisors (see below), whose sum is σ = 35722694616. Its totient is φ = 20412968256.

The previous prime is 27642561239. The next prime is 27642561259. The reversal of 27642561245 is 54216524672.

It can be written as a sum of positive squares in 4 ways, for example, as 5074710169 + 22567851076 = 71237^2 + 150226^2 .

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 27642561245 - 2¹² = 27642557149 is a prime.

It is a super-2 number, since 2×27642561245² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 27642561196 and 27642561205.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 212635022 + ... + 212635151.

It is an arithmetic number, because the mean of its divisors is an integer number (4465336827).

Almost surely, 2^27642561245 is an apocalyptic number.

It is an amenable number.

27642561245 is a deficient number, since it is larger than the sum of its proper divisors (8080133371).

27642561245 is a wasteful number, since it uses less digits than its factorization.

27642561245 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425270191.

The product of its digits is 806400, while the sum is 44.

The spelling of 27642561245 in words is "twenty-seven billion, six hundred forty-two million, five hundred sixty-one thousand, two hundred forty-five".