27648709890048 has 936 divisors, whose sum is σ = 92424709704600. Its totient is φ = 8210930466816.

The previous prime is 27648709890047. The next prime is 27648709890091. The reversal of 27648709890048 is 84009890784672.

27648709890048 is a `hidden beast` number, since 27 + 6 + 487 + 0 + 9 + 89 + 0 + 0 + 48 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6505193078784 + 21143516811264 = 2550528^2 + 4598208^2 .

It is a tau number, because it is divible by the number of its divisors (936).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (27648709890047) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10131442348 + ... + 10131445076.

It is an arithmetic number, because the mean of its divisors is an integer number (98744347975).

Almost surely, 2^{27648709890048} 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 27648709890048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46212354852300).

27648709890048 is an abundant number, since it is smaller than the sum of its proper divisors (64775999814552).

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

27648709890048 is an frugal number, since it uses more digits than its factorization.

27648709890048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2819 (or 2776 counting only the distinct ones).

The product of its (nonzero) digits is 390168576, while the sum is 72.

The spelling of 27648709890048 in words is "twenty-seven trillion, six hundred forty-eight billion, seven hundred nine million, eight hundred ninety thousand, forty-eight".