27659970564 has 96 divisors (see below), whose sum is σ = 71677509120. Its totient is φ = 8263360512.

The previous prime is 27659970551. The next prime is 27659970571. The reversal of 27659970564 is 46507995672.

It is a junction number, because it is equal to n+sod(n) for n = 27659970498 and 27659970507.

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 31 ways as a sum of consecutive naturals, for example, 315772 + ... + 393740.

It is an arithmetic number, because the mean of its divisors is an integer number (746640720).

Almost surely, 2^27659970564 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 27659970564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35838754560).

27659970564 is an abundant number, since it is smaller than the sum of its proper divisors (44017538556).

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

27659970564 is a wasteful number, since it uses less digits than its factorization.

27659970564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78077 (or 78075 counting only the distinct ones).

The product of its (nonzero) digits is 28576800, while the sum is 60.

The spelling of 27659970564 in words is "twenty-seven billion, six hundred fifty-nine million, nine hundred seventy thousand, five hundred sixty-four".