27085744656 has 160 divisors (see below), whose sum is σ = 81280869120. Its totient is φ = 8619595776.

The previous prime is 27085744643. The next prime is 27085744663. The reversal of 27085744656 is 65644758072.

It is a happy number.

27085744656 is a `hidden beast` number, since 2 + 7 + 0 + 8 + 574 + 4 + 65 + 6 = 666.

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

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 31 ways as a sum of consecutive naturals, for example, 5889750 + ... + 5894346.

It is an arithmetic number, because the mean of its divisors is an integer number (508005432).

Almost surely, 2^27085744656 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 27085744656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40640434560).

27085744656 is an abundant number, since it is smaller than the sum of its proper divisors (54195124464).

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

27085744656 is a wasteful number, since it uses less digits than its factorization.

27085744656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5230 (or 5218 counting only the distinct ones).

The product of its (nonzero) digits is 11289600, while the sum is 54.

It can be divided in two parts, 270857 and 44656, that added together give a palindrome (315513).

The spelling of 27085744656 in words is "twenty-seven billion, eighty-five million, seven hundred forty-four thousand, six hundred fifty-six".