221005255680 has 1408 divisors, whose sum is σ = 916846387200. Its totient is φ = 49958092800.

The previous prime is 221005255651. The next prime is 221005255717. The reversal of 221005255680 is 86552500122.

It is a happy number.

221005255680 is a `hidden beast` number, since 2 + 2 + 1 + 0 + 0 + 525 + 56 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1408).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2483205076 + ... + 2483205164.

Almost surely, 2^221005255680 is an apocalyptic number.

221005255680 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 221005255680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458423193600).

221005255680 is an abundant number, since it is smaller than the sum of its proper divisors (695841131520).

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

221005255680 is a wasteful number, since it uses less digits than its factorization.

221005255680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The spelling of 221005255680 in words is "two hundred twenty-one billion, five million, two hundred fifty-five thousand, six hundred eighty".