221276160000 has 1125 divisors, whose sum is σ = 931846066151. Its totient is φ = 50577408000.

The previous prime is 221276159971. The next prime is 221276160041. The reversal of 221276160000 is 61672122.

The square root of 221276160000 is 470400.

It is a perfect power (a square), and thus also a powerful number.

221276160000 is a `hidden beast` number, since 2 + 21 + 27 + 616 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 17348050944 + 203928109056 = 131712^2 + 451584^2 .

It is a tau number, because it is divible by the number of its divisors (1125).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 31610879997 + ... + 31610880003.

Almost surely, 2^221276160000 is an apocalyptic number.

221276160000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

221276160000 is the 470400-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221276160000

221276160000 is an abundant number, since it is smaller than the sum of its proper divisors (710569906151).

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

221276160000 is an frugal number, since it uses more digits than its factorization.

221276160000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The spelling of 221276160000 in words is "two hundred twenty-one billion, two hundred seventy-six million, one hundred sixty thousand".