27285696968688 has 240 divisors, whose sum is σ = 79179530102400. Its totient is φ = 8764682319360.

The previous prime is 27285696968627. The next prime is 27285696968707. The reversal of 27285696968688 is 88686969658272.

It is a happy number.

27285696968688 is a `hidden beast` number, since 2 + 7 + 285 + 6 + 96 + 96 + 86 + 88 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 27285696968598 and 27285696968607.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 310264083 + ... + 310352013.

It is an arithmetic number, because the mean of its divisors is an integer number (329914708760).

Almost surely, 2^{27285696968688} 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 27285696968688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39589765051200).

27285696968688 is an abundant number, since it is smaller than the sum of its proper divisors (51893833133712).

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

27285696968688 is a wasteful number, since it uses less digits than its factorization.

27285696968688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88540 (or 88531 counting only the distinct ones).

The product of its digits is 60197437440, while the sum is 90.

The spelling of 27285696968688 in words is "twenty-seven trillion, two hundred eighty-five billion, six hundred ninety-six million, nine hundred sixty-eight thousand, six hundred eighty-eight".