27813430536336 has 135 divisors (see below), whose sum is σ = 80436582069753. Its totient is φ = 8971441505280.

The previous prime is 27813430536239. The next prime is 27813430536337. The reversal of 27813430536336 is 63363503431872.

The square root of 27813430536336 is 5273844.

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

27813430536336 is a `hidden beast` number, since 2 + 78 + 1 + 3 + 4 + 3 + 0 + 536 + 3 + 36 = 666.

It can be written as a sum of positive squares in only one way, i.e., 27688012563600 + 125417972736 = 5261940^2 + 354144^2 .

It is not an unprimeable number, because it can be changed into a prime (27813430536337) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1961862880 + ... + 1961877056.

Almost surely, 2^{27813430536336} is an apocalyptic number.

27813430536336 is the 5273844-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27813430536336

27813430536336 is an abundant number, since it is smaller than the sum of its proper divisors (52623151533417).

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

27813430536336 is an frugal number, since it uses more digits than its factorization.

27813430536336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28430 (or 14213 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 54.

The spelling of 27813430536336 in words is "twenty-seven trillion, eight hundred thirteen billion, four hundred thirty million, five hundred thirty-six thousand, three hundred thirty-six".