27242584656 has 80 divisors (see below), whose sum is σ = 80584794624. Its totient is φ = 7768662912.

The previous prime is 27242584561. The next prime is 27242584687. The reversal of 27242584656 is 65648524272.

It is a junction number, because it is equal to n+sod(n) for n = 27242584599 and 27242584608.

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 15 ways as a sum of consecutive naturals, for example, 98215 + ... + 253241.

Almost surely, 2^27242584656 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 27242584656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40292397312).

27242584656 is an abundant number, since it is smaller than the sum of its proper divisors (53342209968).

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

27242584656 is a wasteful number, since it uses less digits than its factorization.

27242584656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155568 (or 155562 counting only the distinct ones).

The product of its digits is 6451200, while the sum is 51.

The spelling of 27242584656 in words is "twenty-seven billion, two hundred forty-two million, five hundred eighty-four thousand, six hundred fifty-six".