27506920047616 has 297 divisors, whose sum is σ = 60551502698901. Its totient is φ = 12486591283200.

The previous prime is 27506920047611. The next prime is 27506920047619. The reversal of 27506920047616 is 61674002960572.

The square root of 27506920047616 is 5244704.

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

It can be written as a sum of positive squares in only one way, i.e., 21415422182400 + 6091497865216 = 4627680^2 + 2468096^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (27506920047611) 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, 88446688101 + ... + 88446688411.

Almost surely, 2^{27506920047616} is an apocalyptic number.

27506920047616 is the 5244704-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27506920047616

27506920047616 is an abundant number, since it is smaller than the sum of its proper divisors (33044582651285).

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

27506920047616 is an frugal number, since it uses more digits than its factorization.

27506920047616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 738 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 55.

The spelling of 27506920047616 in words is "twenty-seven trillion, five hundred six billion, nine hundred twenty million, forty-seven thousand, six hundred sixteen".