27738289244160 has 960 divisors, whose sum is σ = 108687121583040. Its totient is φ = 6710421749760.

The previous prime is 27738289244147. The next prime is 27738289244167. The reversal of 27738289244160 is 6144298283772.

It is a happy number.

27738289244160 is a `hidden beast` number, since 2 + 7 + 7 + 382 + 8 + 9 + 244 + 1 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is not an unprimeable number, because it can be changed into a prime (27738289244167) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4771765414 + ... + 4771771226.

It is an arithmetic number, because the mean of its divisors is an integer number (113215751649).

Almost surely, 2^{27738289244160} is an apocalyptic number.

27738289244160 is a gapful number since it is divisible by the number (20) 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 27738289244160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54343560791520).

27738289244160 is an abundant number, since it is smaller than the sum of its proper divisors (80948832338880).

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

27738289244160 is a wasteful number, since it uses less digits than its factorization.

27738289244160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6386 (or 6357 counting only the distinct ones).

The product of its (nonzero) digits is 65028096, while the sum is 63.

The spelling of 27738289244160 in words is "twenty-seven trillion, seven hundred thirty-eight billion, two hundred eighty-nine million, two hundred forty-four thousand, one hundred sixty".