27138539870208 has 768 divisors, whose sum is σ = 91358886528000. Its totient is φ = 7897089835008.

The previous prime is 27138539870207. The next prime is 27138539870219. The reversal of 27138539870208 is 80207893583172.

27138539870208 is a `hidden beast` number, since 2 + 7 + 1 + 3 + 8 + 539 + 8 + 70 + 20 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27138539870207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1471472635 + ... + 1471491077.

It is an arithmetic number, because the mean of its divisors is an integer number (118956883500).

Almost surely, 2^{27138539870208} 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 27138539870208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45679443264000).

27138539870208 is an abundant number, since it is smaller than the sum of its proper divisors (64220346657792).

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

27138539870208 is a wasteful number, since it uses less digits than its factorization.

27138539870208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18599 (or 18573 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 63.

The spelling of 27138539870208 in words is "twenty-seven trillion, one hundred thirty-eight billion, five hundred thirty-nine million, eight hundred seventy thousand, two hundred eight".