27107120746368 has 192 divisors, whose sum is σ = 84010036110000. Its totient is φ = 8340037115904.

The previous prime is 27107120746361. The next prime is 27107120746393. The reversal of 27107120746368 is 86364702170172.

27107120746368 is a `hidden beast` number, since 2 + 7 + 1 + 0 + 71 + 207 + 4 + 6 + 368 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27107120746361) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 229178508 + ... + 229296756.

Almost surely, 2^{27107120746368} 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 27107120746368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42005018055000).

27107120746368 is an abundant number, since it is smaller than the sum of its proper divisors (56902915363632).

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

27107120746368 is a wasteful number, since it uses less digits than its factorization.

27107120746368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133589 (or 133574 counting only the distinct ones).

The product of its (nonzero) digits is 4741632, while the sum is 54.

The spelling of 27107120746368 in words is "twenty-seven trillion, one hundred seven billion, one hundred twenty million, seven hundred forty-six thousand, three hundred sixty-eight".