27771262849 has 12 divisors (see below), whose sum is σ = 32321054052. Its totient is φ = 23761506560.

The previous prime is 27771262843. The next prime is 27771262879. The reversal of 27771262849 is 94826217772.

It can be written as a sum of positive squares in 2 ways, for example, as 7909434225 + 19861828624 = 88935^2 + 140932^2 .

It is a de Polignac number, because none of the positive numbers 2^k-27771262849 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 27771262849.

It is not an unprimeable number, because it can be changed into a prime (27771262843) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6748372 + ... + 6752485.

It is an arithmetic number, because the mean of its divisors is an integer number (2693421171).

Almost surely, 2^27771262849 is an apocalyptic number.

It is an amenable number.

27771262849 is a deficient number, since it is larger than the sum of its proper divisors (4549791203).

27771262849 is a wasteful number, since it uses less digits than its factorization.

27771262849 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13500896 (or 13500885 counting only the distinct ones).

The product of its digits is 4741632, while the sum is 55.

The spelling of 27771262849 in words is "twenty-seven billion, seven hundred seventy-one million, two hundred sixty-two thousand, eight hundred forty-nine".