27222400800 has 864 divisors, whose sum is σ = 114230188800. Its totient is φ = 6096384000.

The previous prime is 27222400783. The next prime is 27222400801. The reversal of 27222400800 is 800422272.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27222400801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 180280725 + ... + 180280875.

Almost surely, 2^27222400800 is an apocalyptic number.

27222400800 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 27222400800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57115094400).

27222400800 is an abundant number, since it is smaller than the sum of its proper divisors (87007788000).

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

27222400800 is a wasteful number, since it uses less digits than its factorization.

27222400800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 241 counting only the distinct ones).

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

The spelling of 27222400800 in words is "twenty-seven billion, two hundred twenty-two million, four hundred thousand, eight hundred".