27325971072 has 192 divisors, whose sum is σ = 80769312000. Its totient is φ = 8864593920.

The previous prime is 27325971067. The next prime is 27325971107. The reversal of 27325971072 is 27017952372.

27325971072 is a `hidden beast` number, since 27 + 32 + 597 + 1 + 0 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6459454 + ... + 6463682.

It is an arithmetic number, because the mean of its divisors is an integer number (420673500).

Almost surely, 2^27325971072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27325971072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40384656000).

27325971072 is an abundant number, since it is smaller than the sum of its proper divisors (53443340928).

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

27325971072 is a wasteful number, since it uses less digits than its factorization.

27325971072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4399 (or 4384 counting only the distinct ones).

The product of its (nonzero) digits is 370440, while the sum is 45.

The spelling of 27325971072 in words is "twenty-seven billion, three hundred twenty-five million, nine hundred seventy-one thousand, seventy-two".