27125331840 has 448 divisors, whose sum is σ = 99374160960. Its totient is φ = 7073796096.

The previous prime is 27125331823. The next prime is 27125331913. The reversal of 27125331840 is 4813352172.

27125331840 is a `hidden beast` number, since 2 + 71 + 2 + 533 + 18 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 27125331795 and 27125331804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 21927702 + ... + 21928938.

Almost surely, 2^27125331840 is an apocalyptic number.

27125331840 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 27125331840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49687080480).

27125331840 is an abundant number, since it is smaller than the sum of its proper divisors (72248829120).

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

27125331840 is an equidigital number, since it uses as much as digits as its factorization.

27125331840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1321 (or 1294 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 27125331840 in words is "twenty-seven billion, one hundred twenty-five million, three hundred thirty-one thousand, eight hundred forty".