221053089420800 has 360 divisors, whose sum is σ = 686100004039296. Its totient is φ = 69959656488960.

The previous prime is 221053089420791. The next prime is 221053089420841. The reversal of 221053089420800 is 8024980350122.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5401952 + ... + 21709151.

Almost surely, 2^{221053089420800} is an apocalyptic number.

221053089420800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221053089420800 is an abundant number, since it is smaller than the sum of its proper divisors (465046914618496).

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

221053089420800 is a wasteful number, since it uses less digits than its factorization.

221053089420800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27111158 (or 27111130 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 44.

The spelling of 221053089420800 in words is "two hundred twenty-one trillion, fifty-three billion, eighty-nine million, four hundred twenty thousand, eight hundred".