27020044800 has 1440 divisors, whose sum is σ = 123007876992. Its totient is φ = 5733089280.

The previous prime is 27020044789. The next prime is 27020044813. The reversal of 27020044800 is 844002072.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 370137564 + ... + 370137636.

Almost surely, 2^27020044800 is an apocalyptic number.

27020044800 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 27020044800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61503938496).

27020044800 is an abundant number, since it is smaller than the sum of its proper divisors (95987832192).

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

27020044800 is an equidigital number, since it uses as much as digits as its factorization.

27020044800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

Adding to 27020044800 its reverse (844002072), we get a palindrome (27864046872).

The spelling of 27020044800 in words is "twenty-seven billion, twenty million, forty-four thousand, eight hundred".