27317216336256 has 2304 divisors, whose sum is σ = 109517229619200. Its totient is φ = 6437781504000.

The previous prime is 27317216336243. The next prime is 27317216336341. The reversal of 27317216336256 is 65263361271372.

27317216336256 is a `hidden beast` number, since 2 + 7 + 3 + 1 + 7 + 2 + 1 + 6 + 3 + 3 + 625 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 41327104566 + ... + 41327105226.

It is an arithmetic number, because the mean of its divisors is an integer number (47533519800).

Almost surely, 2^{27317216336256} 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 27317216336256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54758614809600).

27317216336256 is an abundant number, since it is smaller than the sum of its proper divisors (82200013282944).

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

27317216336256 is a wasteful number, since it uses less digits than its factorization.

27317216336256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 869 (or 847 counting only the distinct ones).

The product of its digits is 11430720, while the sum is 54.

The spelling of 27317216336256 in words is "twenty-seven trillion, three hundred seventeen billion, two hundred sixteen million, three hundred thirty-six thousand, two hundred fifty-six".