27341181264096 has 216 divisors, whose sum is σ = 90987202378800. Its totient is φ = 7764988363776.

The previous prime is 27341181264077. The next prime is 27341181264127. The reversal of 27341181264096 is 69046218114372.

27341181264096 is a `hidden beast` number, since 2 + 7 + 3 + 411 + 81 + 2 + 64 + 0 + 96 = 666.

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 35 ways as a sum of consecutive naturals, for example, 3444021 + ... + 8157428.

It is an arithmetic number, because the mean of its divisors is an integer number (421237048050).

Almost surely, 2^{27341181264096} is an apocalyptic number.

It is an amenable number.

27341181264096 is an abundant number, since it is smaller than the sum of its proper divisors (63646021114704).

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

27341181264096 is a wasteful number, since it uses less digits than its factorization.

27341181264096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11601646 (or 11601628 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 27341181264096 in words is "twenty-seven trillion, three hundred forty-one billion, one hundred eighty-one million, two hundred sixty-four thousand, ninety-six".