27779633054838 has 96 divisors (see below), whose sum is σ = 70669119493440. Its totient is φ = 7720082472960.

The previous prime is 27779633054749. The next prime is 27779633054851. The reversal of 27779633054838 is 83845033697772.

It is a happy number.

27779633054838 is a `hidden beast` number, since 2 + 7 + 7 + 79 + 6 + 3 + 3 + 0 + 548 + 3 + 8 = 666.

It is a super-2 number, since 2×27779633054838² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13833718 + ... + 15714038.

It is an arithmetic number, because the mean of its divisors is an integer number (736136661390).

Almost surely, 2^{27779633054838} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27779633054838, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35334559746720).

27779633054838 is an abundant number, since it is smaller than the sum of its proper divisors (42889486438602).

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

27779633054838 is a wasteful number, since it uses less digits than its factorization.

27779633054838 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1883542 (or 1883539 counting only the distinct ones).

The product of its (nonzero) digits is 1280240640, while the sum is 72.

The spelling of 27779633054838 in words is "twenty-seven trillion, seven hundred seventy-nine billion, six hundred thirty-three million, fifty-four thousand, eight hundred thirty-eight".