221330825280 has 336 divisors, whose sum is σ = 807863621760. Its totient is φ = 55497547776.

The previous prime is 221330825213. The next prime is 221330825281. The reversal of 221330825280 is 82528033122.

It is a happy number.

221330825280 is a `hidden beast` number, since 2 + 21 + 3 + 30 + 82 + 528 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (221330825281) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3879844 + ... + 3936476.

Almost surely, 2^221330825280 is an apocalyptic number.

221330825280 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 221330825280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403931810880).

221330825280 is an abundant number, since it is smaller than the sum of its proper divisors (586532796480).

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

221330825280 is a wasteful number, since it uses less digits than its factorization.

221330825280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56738 (or 56725 counting only the distinct ones).

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

The spelling of 221330825280 in words is "two hundred twenty-one billion, three hundred thirty million, eight hundred twenty-five thousand, two hundred eighty".