221552320820960 has 192 divisors, whose sum is σ = 545935382274240. Its totient is φ = 84908140462080.

The previous prime is 221552320820837. The next prime is 221552320821017. The reversal of 221552320820960 is 69028023255122.

It is a super-2 number, since 2×221552320820960² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 70361264 + ... + 73442576.

It is an arithmetic number, because the mean of its divisors is an integer number (2843413449345).

Almost surely, 2^{221552320820960} is an apocalyptic number.

221552320820960 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 221552320820960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272967691137120).

221552320820960 is an abundant number, since it is smaller than the sum of its proper divisors (324383061453280).

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

221552320820960 is a wasteful number, since it uses less digits than its factorization.

221552320820960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3081581 (or 3081573 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 47.

The spelling of 221552320820960 in words is "two hundred twenty-one trillion, five hundred fifty-two billion, three hundred twenty million, eight hundred twenty thousand, nine hundred sixty".