27388912320 has 560 divisors, whose sum is σ = 121476503808. Its totient is φ = 5690787840.

The previous prime is 27388912303. The next prime is 27388912351. The reversal of 27388912320 is 2321988372.

It is a tau number, because it is divible by the number of its divisors (560).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 79 ways as a sum of consecutive naturals, for example, 1988979 + ... + 2002701.

Almost surely, 2^27388912320 is an apocalyptic number.

27388912320 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 27388912320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60738251904).

27388912320 is an abundant number, since it is smaller than the sum of its proper divisors (94087591488).

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

27388912320 is a wasteful number, since it uses less digits than its factorization.

27388912320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13770 (or 13751 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 27388912320 in words is "twenty-seven billion, three hundred eighty-eight million, nine hundred twelve thousand, three hundred twenty".