221381560960 has 384 divisors, whose sum is σ = 628023628800. Its totient is φ = 74392141824.

The previous prime is 221381560951. The next prime is 221381560991. The reversal of 221381560960 is 69065183122.

It is a super-2 number, since 2×221381560960² (a number of 23 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 478145689 + ... + 478146151.

It is an arithmetic number, because the mean of its divisors is an integer number (1635478200).

Almost surely, 2^221381560960 is an apocalyptic number.

221381560960 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 221381560960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314011814400).

221381560960 is an abundant number, since it is smaller than the sum of its proper divisors (406642067840).

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

221381560960 is a wasteful number, since it uses less digits than its factorization.

221381560960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 768 (or 749 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 43.

The spelling of 221381560960 in words is "two hundred twenty-one billion, three hundred eighty-one million, five hundred sixty thousand, nine hundred sixty".