27713335689216 has 192 divisors, whose sum is σ = 80259518093040. Its totient is φ = 9214702387200.

The previous prime is 27713335689167. The next prime is 27713335689269. The reversal of 27713335689216 is 61298653331772.

27713335689216 is a `hidden beast` number, since 2 + 7 + 7 + 1 + 3 + 335 + 6 + 89 + 216 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 118142541 + ... + 118376883.

Almost surely, 2^{27713335689216} 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 27713335689216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40129759046520).

27713335689216 is an abundant number, since it is smaller than the sum of its proper divisors (52546182403824).

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

27713335689216 is an equidigital number, since it uses as much as digits as its factorization.

27713335689216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234780 (or 234749 counting only the distinct ones).

The product of its digits is 68584320, while the sum is 63.

The spelling of 27713335689216 in words is "twenty-seven trillion, seven hundred thirteen billion, three hundred thirty-five million, six hundred eighty-nine thousand, two hundred sixteen".