27568135379844 has 144 divisors (see below), whose sum is σ = 74094966953280. Its totient is φ = 8617800211200.

The previous prime is 27568135379779. The next prime is 27568135379893. The reversal of 27568135379844 is 44897353186572.

27568135379844 is a `hidden beast` number, since 2 + 7 + 5 + 6 + 8 + 1 + 3 + 537 + 9 + 84 + 4 = 666.

It is a super-2 number, since 2×27568135379844² (a number of 28 digits) contains 22 as substring.

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, 368387559 + ... + 368462385.

It is an arithmetic number, because the mean of its divisors is an integer number (514548381620).

Almost surely, 2^{27568135379844} 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 27568135379844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37047483476640).

27568135379844 is an abundant number, since it is smaller than the sum of its proper divisors (46526831573436).

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

27568135379844 is a wasteful number, since it uses less digits than its factorization.

27568135379844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80290 (or 80285 counting only the distinct ones).

The product of its digits is 1219276800, while the sum is 72.

The spelling of 27568135379844 in words is "twenty-seven trillion, five hundred sixty-eight billion, one hundred thirty-five million, three hundred seventy-nine thousand, eight hundred forty-four".