27089890992024 has 256 divisors, whose sum is σ = 78460073902080. Its totient is φ = 7634579166720.

The previous prime is 27089890991953. The next prime is 27089890992041. The reversal of 27089890992024 is 42029909898072.

It is a Cunningham number, because it is equal to 5204795²-1.

It is a self number, because there is not a number n which added to its sum of digits gives 27089890992024.

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 63 ways as a sum of consecutive naturals, for example, 6433123279 + ... + 6433127489.

It is an arithmetic number, because the mean of its divisors is an integer number (306484663680).

Almost surely, 2^{27089890992024} is an apocalyptic number.

27089890992024 is a gapful number since it is divisible by the number (24) 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 27089890992024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39230036951040).

27089890992024 is an abundant number, since it is smaller than the sum of its proper divisors (51370182910056).

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

27089890992024 is a wasteful number, since it uses less digits than its factorization.

27089890992024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5710 (or 5706 counting only the distinct ones).

The product of its (nonzero) digits is 94058496, while the sum is 69.

The spelling of 27089890992024 in words is "twenty-seven trillion, eighty-nine billion, eight hundred ninety million, nine hundred ninety-two thousand, twenty-four".