27252558080 has 144 divisors (see below), whose sum is σ = 71391196800. Its totient is φ = 9885204480.

The previous prime is 27252558071. The next prime is 27252558083. The reversal of 27252558080 is 8085525272.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (27252558083) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6178916 + ... + 6183324.

It is an arithmetic number, because the mean of its divisors is an integer number (495772200).

Almost surely, 2^27252558080 is an apocalyptic number.

27252558080 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 27252558080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35695598400).

27252558080 is an abundant number, since it is smaller than the sum of its proper divisors (44138638720).

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

27252558080 is a wasteful number, since it uses less digits than its factorization.

27252558080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4880 (or 4866 counting only the distinct ones).

The product of its (nonzero) digits is 448000, while the sum is 44.

The spelling of 27252558080 in words is "twenty-seven billion, two hundred fifty-two million, five hundred fifty-eight thousand, eighty".