27768754753038 has 144 divisors (see below), whose sum is σ = 66032428400640. Its totient is φ = 8428664088000.

The previous prime is 27768754753009. The next prime is 27768754753043. The reversal of 27768754753038 is 83035745786772.

27768754753038 is a `hidden beast` number, since 2 + 7 + 7 + 6 + 8 + 7 + 54 + 7 + 530 + 38 = 666.

It is a super-2 number, since 2×27768754753038² (a number of 28 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 276555823 + ... + 276656213.

It is an arithmetic number, because the mean of its divisors is an integer number (458558530560).

Almost surely, 2^{27768754753038} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27768754753038, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33016214200320).

27768754753038 is an abundant number, since it is smaller than the sum of its proper divisors (38263673647602).

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

27768754753038 is a wasteful number, since it uses less digits than its factorization.

27768754753038 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101655 (or 101639 counting only the distinct ones).

The product of its (nonzero) digits is 1659571200, while the sum is 72.

The spelling of 27768754753038 in words is "twenty-seven trillion, seven hundred sixty-eight billion, seven hundred fifty-four million, seven hundred fifty-three thousand, thirty-eight".