27338201856 has 216 divisors, whose sum is σ = 94001107200. Its totient is φ = 7471208448.

The previous prime is 27338201797. The next prime is 27338201923. The reversal of 27338201856 is 65810283372.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 334095 + ... + 407793.

Almost surely, 2^27338201856 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 27338201856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47000553600).

27338201856 is an abundant number, since it is smaller than the sum of its proper divisors (66662905344).

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

27338201856 is a wasteful number, since it uses less digits than its factorization.

27338201856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73751 (or 73734 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 27338201856 in words is "twenty-seven billion, three hundred thirty-eight million, two hundred one thousand, eight hundred fifty-six".