27040000000000 has 495 divisors, whose sum is σ = 73197764614191. Its totient is φ = 9984000000000.

The previous prime is 27039999999973. The next prime is 27040000000001. The reversal of 27040000000000 is 4072.

The square root of 27040000000000 is 5200000.

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

It can be written as a sum of positive squares in 16 ways, for example, as 21478553174016 + 5561446825984 = 4634496^2 + 2358272^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 27039999999899 and 27039999999908.

It is not an unprimeable number, because it can be changed into a prime (27040000000001) 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 32 ways as a sum of consecutive naturals, for example, 2079999999994 + ... + 2080000000006.

Almost surely, 2^{27040000000000} is an apocalyptic number.

27040000000000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

27040000000000 is the 5200000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27040000000000

27040000000000 is an abundant number, since it is smaller than the sum of its proper divisors (46157764614191).

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

27040000000000 is an frugal number, since it uses more digits than its factorization.

27040000000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 20 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 13.

Adding to 27040000000000 its reverse (4072), we get a palindrome (27040000004072).

The spelling of 27040000000000 in words is "twenty-seven trillion, forty billion", and thus it is an aban number and an uban number.