27121705344 has 192 divisors, whose sum is σ = 86986926000. Its totient is φ = 8060829696.

The previous prime is 27121705313. The next prime is 27121705357. The reversal of 27121705344 is 44350712172.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 27121705299 and 27121705308.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 335652 + ... + 408540.

Almost surely, 2^27121705344 is an apocalyptic number.

27121705344 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 27121705344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43493463000).

27121705344 is an abundant number, since it is smaller than the sum of its proper divisors (59865220656).

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

27121705344 is a wasteful number, since it uses less digits than its factorization.

27121705344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72945 (or 72930 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The spelling of 27121705344 in words is "twenty-seven billion, one hundred twenty-one million, seven hundred five thousand, three hundred forty-four".