27144505344 has 192 divisors, whose sum is σ = 83105568000. Its totient is φ = 7792312320.

The previous prime is 27144505343. The next prime is 27144505369. The reversal of 27144505344 is 44350544172.

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

It is not an unprimeable number, because it can be changed into a prime (27144505343) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1273527 + ... + 1294665.

It is an arithmetic number, because the mean of its divisors is an integer number (432841500).

Almost surely, 2^27144505344 is an apocalyptic number.

27144505344 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 27144505344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41552784000).

27144505344 is an abundant number, since it is smaller than the sum of its proper divisors (55961062656).

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

27144505344 is a wasteful number, since it uses less digits than its factorization.

27144505344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21194 (or 21174 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 39.

The spelling of 27144505344 in words is "twenty-seven billion, one hundred forty-four million, five hundred five thousand, three hundred forty-four".