221538304800 has 450 divisors, whose sum is σ = 827142998913. Its totient is φ = 57703000320.

The previous prime is 221538304759. The next prime is 221538304811. The reversal of 221538304800 is 8403835122.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

221538304800 is a `hidden beast` number, since 22 + 153 + 8 + 3 + 0 + 480 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 217107538704 + 4430766096 = 465948^2 + 66564^2 .

It is a tau number, because it is divible by the number of its divisors (450).

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=332820.

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

It is an unprimeable number.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 5152053579 + ... + 5152053621.

Almost surely, 2^221538304800 is an apocalyptic number.

221538304800 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 221538304800

221538304800 is an abundant number, since it is smaller than the sum of its proper divisors (605604694113).

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

221538304800 is an frugal number, since it uses more digits than its factorization.

221538304800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 221538304800 in words is "two hundred twenty-one billion, five hundred thirty-eight million, three hundred four thousand, eight hundred".