27656271360000 has 390 divisors, whose sum is σ = 99825806360280. Its totient is φ = 7374999552000.

The previous prime is 27656271359993. The next prime is 27656271360007. The reversal of 27656271360000 is 6317265672.

27656271360000 is a `hidden beast` number, since 2 + 7 + 6 + 5 + 6 + 27 + 13 + 600 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (27656271359993) and next prime (27656271360007).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27656271360007) by changing a digit.

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 29 ways as a sum of consecutive naturals, for example, 22439821 + ... + 23640179.

It is an arithmetic number, because the mean of its divisors is an integer number (255963606052).

Almost surely, 2^{27656271360000} is an apocalyptic number.

27656271360000 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 27656271360000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49912903180140).

27656271360000 is an abundant number, since it is smaller than the sum of its proper divisors (72169535000280).

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

27656271360000 is an equidigital number, since it uses as much as digits as its factorization.

27656271360000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1200409 (or 1200369 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The spelling of 27656271360000 in words is "twenty-seven trillion, six hundred fifty-six billion, two hundred seventy-one million, three hundred sixty thousand".