27325488960 has 1008 divisors, whose sum is σ = 123588840960. Its totient is φ = 5473198080.

The previous prime is 27325488943. The next prime is 27325489013. The reversal of 27325488960 is 6988452372.

27325488960 is a `hidden beast` number, since 2 + 7 + 3 + 2 + 548 + 8 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a junction number, because it is equal to n+sod(n) for n = 27325488897 and 27325488906.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 45016977 + ... + 45017583.

Almost surely, 2^27325488960 is an apocalyptic number.

27325488960 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 27325488960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61794420480).

27325488960 is an abundant number, since it is smaller than the sum of its proper divisors (96263352000).

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

27325488960 is a wasteful number, since it uses less digits than its factorization.

27325488960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 684 (or 664 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 27325488960 in words is "twenty-seven billion, three hundred twenty-five million, four hundred eighty-eight thousand, nine hundred sixty".