221060980224000 has 5616 divisors, whose sum is σ = 1032138798986880. Its totient is φ = 46954001203200.

The previous prime is 221060980223971. The next prime is 221060980224011. The reversal of 221060980224000 is 422089060122.

221060980224000 is a `hidden beast` number, since 2 + 2 + 1 + 0 + 609 + 8 + 0 + 2 + 2 + 40 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 2798240255961 + ... + 2798240256039.

It is an arithmetic number, because the mean of its divisors is an integer number (183785398680).

Almost surely, 2^{221060980224000} is an apocalyptic number.

221060980224000 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 221060980224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (516069399493440).

221060980224000 is an abundant number, since it is smaller than the sum of its proper divisors (811077818762880).

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

221060980224000 is an frugal number, since it uses more digits than its factorization.

221060980224000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 221060980224000 in words is "two hundred twenty-one trillion, sixty billion, nine hundred eighty million, two hundred twenty-four thousand".