27442127160 has 256 divisors, whose sum is σ = 104706201600. Its totient is φ = 6262603776.

The previous prime is 27442127147. The next prime is 27442127201. The reversal of 27442127160 is 6172124472.

27442127160 is a `hidden beast` number, since 2 + 74 + 421 + 2 + 7 + 160 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5493624 + ... + 5498616.

It is an arithmetic number, because the mean of its divisors is an integer number (409008600).

Almost surely, 2^27442127160 is an apocalyptic number.

27442127160 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 27442127160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52353100800).

27442127160 is an abundant number, since it is smaller than the sum of its proper divisors (77264074440).

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

27442127160 is a wasteful number, since it uses less digits than its factorization.

27442127160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5747 (or 5737 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The spelling of 27442127160 in words is "twenty-seven billion, four hundred forty-two million, one hundred twenty-seven thousand, one hundred sixty".