27886313440 has 96 divisors (see below), whose sum is σ = 67159290240. Its totient is φ = 10940127744.

The previous prime is 27886313387. The next prime is 27886313447. The reversal of 27886313440 is 4431368872.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27886313447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1838367 + ... + 1853473.

It is an arithmetic number, because the mean of its divisors is an integer number (699575940).

Almost surely, 2^27886313440 is an apocalyptic number.

27886313440 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 27886313440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33579645120).

27886313440 is an abundant number, since it is smaller than the sum of its proper divisors (39272976800).

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

27886313440 is a wasteful number, since it uses less digits than its factorization.

27886313440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15344 (or 15336 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 46.

The spelling of 27886313440 in words is "twenty-seven billion, eight hundred eighty-six million, three hundred thirteen thousand, four hundred forty".