27193189072896 has 1584 divisors, whose sum is σ = 104294196221040. Its totient is φ = 7063165992960.

The previous prime is 27193189072867. The next prime is 27193189072909. The reversal of 27193189072896 is 69827098139172.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

27193189072896 is a `hidden beast` number, since 2 + 71 + 9 + 318 + 90 + 72 + 8 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (1584).

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 (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2472108097531 + ... + 2472108097541.

Almost surely, 2^{27193189072896} 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 27193189072896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52147098110520).

27193189072896 is an abundant number, since it is smaller than the sum of its proper divisors (77101007148144).

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

27193189072896 is an frugal number, since it uses more digits than its factorization.

27193189072896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 164602368, while the sum is 72.

The spelling of 27193189072896 in words is "twenty-seven trillion, one hundred ninety-three billion, one hundred eighty-nine million, seventy-two thousand, eight hundred ninety-six".