27771881340 has 288 divisors, whose sum is σ = 93047754240. Its totient is φ = 6061754880.

The previous prime is 27771881329. The next prime is 27771881353. The reversal of 27771881340 is 4318817772.

It is a self number, because there is not a number n which added to its sum of digits gives 27771881340.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 33500046 + ... + 33500874.

It is an arithmetic number, because the mean of its divisors is an integer number (323082480).

Almost surely, 2^27771881340 is an apocalyptic number.

27771881340 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 27771881340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46523877120).

27771881340 is an abundant number, since it is smaller than the sum of its proper divisors (65275872900).

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

27771881340 is a wasteful number, since it uses less digits than its factorization.

27771881340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 993 (or 960 counting only the distinct ones).

The product of its (nonzero) digits is 526848, while the sum is 48.

The spelling of 27771881340 in words is "twenty-seven billion, seven hundred seventy-one million, eight hundred eighty-one thousand, three hundred forty".