27665319856608 has 72 divisors (see below), whose sum is σ = 89912289540528. Its totient is φ = 7904377101312.

The previous prime is 27665319856553. The next prime is 27665319856613. The reversal of 27665319856608 is 80665891356672.

27665319856608 is a `hidden beast` number, since 2 + 7 + 6 + 6 + 5 + 3 + 1 + 9 + 8 + 5 + 6 + 608 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6861436441 + ... + 6861440472.

It is an arithmetic number, because the mean of its divisors is an integer number (1248781799174).

Almost surely, 2^{27665319856608} is an apocalyptic number.

27665319856608 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

27665319856608 is an abundant number, since it is smaller than the sum of its proper divisors (62246969683920).

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

27665319856608 is a wasteful number, since it uses less digits than its factorization.

27665319856608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13722876936 (or 13722876925 counting only the distinct ones).

The product of its (nonzero) digits is 783820800, while the sum is 72.

The spelling of 27665319856608 in words is "twenty-seven trillion, six hundred sixty-five billion, three hundred nineteen million, eight hundred fifty-six thousand, six hundred eight".