27782381880 has 192 divisors, whose sum is σ = 99749145600. Its totient is φ = 6649793280.

The previous prime is 27782381873. The next prime is 27782381897. The reversal of 27782381880 is 8818328772.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 268437 + ... + 357243.

It is an arithmetic number, because the mean of its divisors is an integer number (519526800).

Almost surely, 2^27782381880 is an apocalyptic number.

27782381880 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 27782381880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49874572800).

27782381880 is an abundant number, since it is smaller than the sum of its proper divisors (71966763720).

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

27782381880 is a wasteful number, since it uses less digits than its factorization.

27782381880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88914 (or 88907 counting only the distinct ones).

The product of its (nonzero) digits is 2408448, while the sum is 54.

The spelling of 27782381880 in words is "twenty-seven billion, seven hundred eighty-two million, three hundred eighty-one thousand, eight hundred eighty".