27768382356 has 192 divisors, whose sum is σ = 80623097856. Its totient is φ = 7318080000.

The previous prime is 27768382349. The next prime is 27768382387. The reversal of 27768382356 is 65328386772.

It is a super-2 number, since 2×27768382356² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 27768382296 and 27768382305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2639106 + ... + 2649606.

It is an arithmetic number, because the mean of its divisors is an integer number (419911968).

Almost surely, 2^27768382356 is an apocalyptic number.

27768382356 is a gapful number since it is divisible by the number (26) 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 27768382356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40311548928).

27768382356 is an abundant number, since it is smaller than the sum of its proper divisors (52854715500).

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

27768382356 is a wasteful number, since it uses less digits than its factorization.

27768382356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10622 (or 10620 counting only the distinct ones).

The product of its digits is 20321280, while the sum is 57.

The spelling of 27768382356 in words is "twenty-seven billion, seven hundred sixty-eight million, three hundred eighty-two thousand, three hundred fifty-six".