27280253224800 has 432 divisors, whose sum is σ = 98579016664128. Its totient is φ = 7095095884800.

The previous prime is 27280253224727. The next prime is 27280253224817. The reversal of 27280253224800 is 842235208272.

27280253224800 is a `hidden beast` number, since 2 + 7 + 280 + 2 + 5 + 322 + 48 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 211392295 + ... + 211521305.

It is an arithmetic number, because the mean of its divisors is an integer number (228192168204).

Almost surely, 2^{27280253224800} is an apocalyptic number.

27280253224800 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 27280253224800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49289508332064).

27280253224800 is an abundant number, since it is smaller than the sum of its proper divisors (71298763439328).

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

27280253224800 is a wasteful number, since it uses less digits than its factorization.

27280253224800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129763 (or 129747 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 45.

The spelling of 27280253224800 in words is "twenty-seven trillion, two hundred eighty billion, two hundred fifty-three million, two hundred twenty-four thousand, eight hundred".