27667520712 has 96 divisors (see below), whose sum is σ = 80759460600. Its totient is φ = 8506487808.

The previous prime is 27667520653. The next prime is 27667520717. The reversal of 27667520712 is 21702576672.

It can be written as a sum of positive squares in 4 ways, for example, as 22790733156 + 4876787556 = 150966^2 + 69834^2 .

It is not an unprimeable number, because it can be changed into a prime (27667520717) 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 23 ways as a sum of consecutive naturals, for example, 1274364 + ... + 1295892.

Almost surely, 2^27667520712 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27667520712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40379730300).

27667520712 is an abundant number, since it is smaller than the sum of its proper divisors (53091939888).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

27667520712 is a wasteful number, since it uses less digits than its factorization.

27667520712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22927 (or 22920 counting only the distinct ones).

The product of its (nonzero) digits is 493920, while the sum is 45.

The spelling of 27667520712 in words is "twenty-seven billion, six hundred sixty-seven million, five hundred twenty thousand, seven hundred twelve".