27352271232 has 384 divisors, whose sum is σ = 96503097600. Its totient is φ = 7317319680.

The previous prime is 27352271189. The next prime is 27352271239. The reversal of 27352271232 is 23217225372.

27352271232 is a `hidden beast` number, since 2 + 7 + 3 + 522 + 7 + 123 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27352271239) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3785319 + ... + 3792537.

It is an arithmetic number, because the mean of its divisors is an integer number (251310150).

Almost surely, 2^27352271232 is an apocalyptic number.

27352271232 is a gapful number since it is divisible by the number (22) 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 27352271232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48251548800).

27352271232 is an abundant number, since it is smaller than the sum of its proper divisors (69150826368).

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

27352271232 is a wasteful number, since it uses less digits than its factorization.

27352271232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7286 (or 7271 counting only the distinct ones).

The product of its digits is 70560, while the sum is 36.

The spelling of 27352271232 in words is "twenty-seven billion, three hundred fifty-two million, two hundred seventy-one thousand, two hundred thirty-two".