27117076896 has 288 divisors, whose sum is σ = 97974309888. Its totient is φ = 6920847360.

The previous prime is 27117076891. The next prime is 27117076919. The reversal of 27117076896 is 69867071172.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (27117076891) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 795760 + ... + 829136.

It is an arithmetic number, because the mean of its divisors is an integer number (340188576).

Almost surely, 2^27117076896 is an apocalyptic number.

27117076896 is a gapful number since it is divisible by the number (26) 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 27117076896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48987154944).

27117076896 is an abundant number, since it is smaller than the sum of its proper divisors (70857232992).

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

27117076896 is a wasteful number, since it uses less digits than its factorization.

27117076896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33444 (or 33433 counting only the distinct ones).

The product of its (nonzero) digits is 1778112, while the sum is 54.

The spelling of 27117076896 in words is "twenty-seven billion, one hundred seventeen million, seventy-six thousand, eight hundred ninety-six".