27141193728 has 360 divisors, whose sum is σ = 88636045680. Its totient is φ = 7927234560.

The previous prime is 27141193721. The next prime is 27141193741. The reversal of 27141193728 is 82739114172.

27141193728 is a `hidden beast` number, since 271 + 4 + 1 + 1 + 9 + 372 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27141193721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47038176 + ... + 47038752.

It is an arithmetic number, because the mean of its divisors is an integer number (246211238).

Almost surely, 2^27141193728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27141193728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44318022840).

27141193728 is an abundant number, since it is smaller than the sum of its proper divisors (61494851952).

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

27141193728 is a wasteful number, since it uses less digits than its factorization.

27141193728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 651 (or 622 counting only the distinct ones).

The product of its digits is 169344, while the sum is 45.

The spelling of 27141193728 in words is "twenty-seven billion, one hundred forty-one million, one hundred ninety-three thousand, seven hundred twenty-eight".