221450795827200 has 2160 divisors, whose sum is σ = 870596674090416. Its totient is φ = 53588105625600.

The previous prime is 221450795827169. The next prime is 221450795827249. The reversal of 221450795827200 is 2728597054122.

It is a happy number.

221450795827200 is a `hidden beast` number, since 2 + 2 + 1 + 4 + 50 + 7 + 9 + 582 + 7 + 2 + 0 + 0 = 666.

It can be written as a sum of positive squares in 24 ways, for example, as 77929629106176 + 143521166721024 = 8827776^2 + 11980032^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 202608229854 + ... + 202608230946.

Almost surely, 2^{221450795827200} is an apocalyptic number.

221450795827200 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 221450795827200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435298337045208).

221450795827200 is an abundant number, since it is smaller than the sum of its proper divisors (649145878263216).

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

221450795827200 is a wasteful number, since it uses less digits than its factorization.

221450795827200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1268 (or 1234 counting only the distinct ones).

The product of its (nonzero) digits is 5644800, while the sum is 54.

The spelling of 221450795827200 in words is "two hundred twenty-one trillion, four hundred fifty billion, seven hundred ninety-five million, eight hundred twenty-seven thousand, two hundred".