27226027800 has 240 divisors, whose sum is σ = 94859639160. Its totient is φ = 7237278720.

The previous prime is 27226027781. The next prime is 27226027823. The reversal of 27226027800 is 872062272.

27226027800 is a `hidden beast` number, since 27 + 22 + 602 + 7 + 8 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 59 ways as a sum of consecutive naturals, for example, 5456907 + ... + 5461893.

Almost surely, 2^27226027800 is an apocalyptic number.

27226027800 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 27226027800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47429819580).

27226027800 is an abundant number, since it is smaller than the sum of its proper divisors (67633611360).

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

27226027800 is a wasteful number, since it uses less digits than its factorization.

27226027800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5352 (or 5334 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The spelling of 27226027800 in words is "twenty-seven billion, two hundred twenty-six million, twenty-seven thousand, eight hundred".