27690580449856 has 63 divisors (see below), whose sum is σ = 55448594338683. Its totient is φ = 13720408074240.

The previous prime is 27690580449841. The next prime is 27690580449859. The reversal of 27690580449856 is 65894408509672.

The square root of 27690580449856 is 5262184.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 1513195214400 + 26177385235456 = 1230120^2 + 5116384^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (27690580449859) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4757011426 + ... + 4757017246.

Almost surely, 2^{27690580449856} is an apocalyptic number.

27690580449856 is the 5262184-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27690580449856

27690580449856 is an abundant number, since it is smaller than the sum of its proper divisors (27758013888827).

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

27690580449856 is an frugal number, since it uses more digits than its factorization.

27690580449856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11880 (or 5936 counting only the distinct ones).

The product of its (nonzero) digits is 1045094400, while the sum is 73.

The spelling of 27690580449856 in words is "twenty-seven trillion, six hundred ninety billion, five hundred eighty million, four hundred forty-nine thousand, eight hundred fifty-six".