27091665992160 has 864 divisors, whose sum is σ = 119374766364672. Its totient is φ = 5435299860480.

The previous prime is 27091665992123. The next prime is 27091665992227. The reversal of 27091665992160 is 6129956619072.

27091665992160 is a `hidden beast` number, since 2 + 7 + 0 + 9 + 16 + 6 + 599 + 21 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 93104817 + ... + 93395343.

It is an arithmetic number, because the mean of its divisors is an integer number (138165238848).

Almost surely, 2^{27091665992160} is an apocalyptic number.

27091665992160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27091665992160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59687383182336).

27091665992160 is an abundant number, since it is smaller than the sum of its proper divisors (92283100372512).

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

27091665992160 is a wasteful number, since it uses less digits than its factorization.

27091665992160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290624 (or 290584 counting only the distinct ones).

The product of its (nonzero) digits is 22044960, while the sum is 63.

The spelling of 27091665992160 in words is "twenty-seven trillion, ninety-one billion, six hundred sixty-five million, nine hundred ninety-two thousand, one hundred sixty".