221350552320 has 288 divisors, whose sum is σ = 727608305088. Its totient is φ = 57307889664.

The previous prime is 221350552301. The next prime is 221350552337. The reversal of 221350552320 is 23255053122.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 79137162 + ... + 79139958.

It is an arithmetic number, because the mean of its divisors is an integer number (2526417726).

Almost surely, 2^221350552320 is an apocalyptic number.

221350552320 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 221350552320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363804152544).

221350552320 is an abundant number, since it is smaller than the sum of its proper divisors (506257752768).

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

221350552320 is a wasteful number, since it uses less digits than its factorization.

221350552320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3415 (or 3401 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 30.

The spelling of 221350552320 in words is "two hundred twenty-one billion, three hundred fifty million, five hundred fifty-two thousand, three hundred twenty".