27456609852 has 168 divisors, whose sum is σ = 84990001152. Its totient is φ = 7591514400.

The previous prime is 27456609847. The next prime is 27456609913. The reversal of 27456609852 is 25890665472.

27456609852 is a `hidden beast` number, since 2 + 74 + 566 + 0 + 9 + 8 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 611077 + ... + 654467.

It is an arithmetic number, because the mean of its divisors is an integer number (505892864).

Almost surely, 2^27456609852 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 27456609852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42495000576).

27456609852 is an abundant number, since it is smaller than the sum of its proper divisors (57533391300).

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

27456609852 is a wasteful number, since it uses less digits than its factorization.

27456609852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43451 (or 43434 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 27456609852 in words is "twenty-seven billion, four hundred fifty-six million, six hundred nine thousand, eight hundred fifty-two".