27104140224 has 672 divisors, whose sum is σ = 98292879360. Its totient is φ = 6967296000.

The previous prime is 27104140223. The next prime is 27104140241. The reversal of 27104140224 is 42204140172.

27104140224 is a `hidden beast` number, since 27 + 1 + 0 + 414 + 0 + 224 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27104140223) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 239859592 + ... + 239859704.

Almost surely, 2^27104140224 is an apocalyptic number.

27104140224 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 27104140224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49146439680).

27104140224 is an abundant number, since it is smaller than the sum of its proper divisors (71188739136).

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

27104140224 is a wasteful number, since it uses less digits than its factorization.

27104140224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

Adding to 27104140224 its reverse (42204140172), we get a palindrome (69308280396).

The spelling of 27104140224 in words is "twenty-seven billion, one hundred four million, one hundred forty thousand, two hundred twenty-four".