221280828249600 has 4320 divisors, whose sum is σ = 1000958789001600. Its totient is φ = 46535344128000.

The previous prime is 221280828249599. The next prime is 221280828249631. The reversal of 221280828249600 is 6942828082122.

221280828249600 is a `hidden beast` number, since 2 + 2 + 1 + 2 + 8 + 0 + 8 + 2 + 8 + 24 + 9 + 600 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 2190899289550 + ... + 2190899289650.

It is an arithmetic number, because the mean of its divisors is an integer number (231703423380).

Almost surely, 2^{221280828249600} is an apocalyptic number.

221280828249600 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 221280828249600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500479394500800).

221280828249600 is an abundant number, since it is smaller than the sum of its proper divisors (779677960752000).

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

221280828249600 is a wasteful number, since it uses less digits than its factorization.

221280828249600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 54.

The spelling of 221280828249600 in words is "two hundred twenty-one trillion, two hundred eighty billion, eight hundred twenty-eight million, two hundred forty-nine thousand, six hundred".