27856580400768 has 384 divisors, whose sum is σ = 86431394701440. Its totient is φ = 7926112051200.

The previous prime is 27856580400763. The next prime is 27856580400769. The reversal of 27856580400768 is 86700408565872.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 27856580400699 and 27856580400708.

It is not an unprimeable number, because it can be changed into a prime (27856580400763) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4998486430 + ... + 4998492002.

It is an arithmetic number, because the mean of its divisors is an integer number (225081757035).

Almost surely, 2^{27856580400768} is an apocalyptic number.

27856580400768 is a gapful number since it is divisible by the number (28) 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 27856580400768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43215697350720).

27856580400768 is an abundant number, since it is smaller than the sum of its proper divisors (58574814300672).

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

27856580400768 is a wasteful number, since it uses less digits than its factorization.

27856580400768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6656 (or 6637 counting only the distinct ones).

The product of its (nonzero) digits is 180633600, while the sum is 66.

The spelling of 27856580400768 in words is "twenty-seven trillion, eight hundred fifty-six billion, five hundred eighty million, four hundred thousand, seven hundred sixty-eight".