27727142058 has 288 divisors, whose sum is σ = 77960076480. Its totient is φ = 7041323520.

The previous prime is 27727142057. The next prime is 27727142087. The reversal of 27727142058 is 85024172772.

It is not an unprimeable number, because it can be changed into a prime (27727142057) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 140746816 + ... + 140747012.

It is an arithmetic number, because the mean of its divisors is an integer number (270694710).

Almost surely, 2^27727142058 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27727142058, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38980038240).

27727142058 is an abundant number, since it is smaller than the sum of its proper divisors (50232934422).

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

27727142058 is a wasteful number, since it uses less digits than its factorization.

27727142058 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 482 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 439040, while the sum is 45.

It can be divided in two parts, 2772714 and 2058, that added together give a palindrome (2774772).

The spelling of 27727142058 in words is "twenty-seven billion, seven hundred twenty-seven million, one hundred forty-two thousand, fifty-eight".