27986564880 has 160 divisors (see below), whose sum is σ = 96476265600. Its totient is φ = 7457038848.

The previous prime is 27986564861. The next prime is 27986564899. The reversal of 27986564880 is 8846568972.

27986564880 is a `hidden beast` number, since 2 + 7 + 98 + 65 + 6 + 488 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (27986564861) and next prime (27986564899).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3082107 + ... + 3091173.

It is an arithmetic number, because the mean of its divisors is an integer number (602976660).

Almost surely, 2^27986564880 is an apocalyptic number.

27986564880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27986564880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48238132800).

27986564880 is an abundant number, since it is smaller than the sum of its proper divisors (68489700720).

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

27986564880 is a wasteful number, since it uses less digits than its factorization.

27986564880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10518 (or 10506 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 63.

The spelling of 27986564880 in words is "twenty-seven billion, nine hundred eighty-six million, five hundred sixty-four thousand, eight hundred eighty".