27056332800 has 840 divisors, whose sum is σ = 115039328976. Its totient is φ = 6157762560.

The previous prime is 27056332789. The next prime is 27056332801. The reversal of 27056332800 is 823365072.

27056332800 is a `hidden beast` number, since 2 + 70 + 563 + 3 + 28 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (840).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27056332801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 116121484 + ... + 116121716.

Almost surely, 2^27056332800 is an apocalyptic number.

27056332800 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 27056332800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57519664488).

27056332800 is an abundant number, since it is smaller than the sum of its proper divisors (87982996176).

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

27056332800 is an equidigital number, since it uses as much as digits as its factorization.

27056332800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

Adding to 27056332800 its reverse (823365072), we get a palindrome (27879697872).

The spelling of 27056332800 in words is "twenty-seven billion, fifty-six million, three hundred thirty-two thousand, eight hundred".