27965233152 has 168 divisors, whose sum is σ = 83841341220. Its totient is φ = 9321246720.

The previous prime is 27965233139. The next prime is 27965233183. The reversal of 27965233152 is 25133256972.

27965233152 is a `hidden beast` number, since 2 + 7 + 96 + 523 + 31 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 27965233098 and 27965233107.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 1483627 + ... + 1502357.

Almost surely, 2^27965233152 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 27965233152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41920670610).

27965233152 is an abundant number, since it is smaller than the sum of its proper divisors (55876108068).

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

27965233152 is an frugal number, since it uses more digits than its factorization.

27965233152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18771 (or 18736 counting only the distinct ones).

The product of its digits is 680400, while the sum is 45.

The spelling of 27965233152 in words is "twenty-seven billion, nine hundred sixty-five million, two hundred thirty-three thousand, one hundred fifty-two".