221973327520 has 768 divisors, whose sum is σ = 695280402432. Its totient is φ = 65172602880.

The previous prime is 221973327467. The next prime is 221973327529. The reversal of 221973327520 is 25723379122.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (221973327529) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1126768062 + ... + 1126768258.

It is an arithmetic number, because the mean of its divisors is an integer number (905313024).

Almost surely, 2^221973327520 is an apocalyptic number.

221973327520 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 221973327520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347640201216).

221973327520 is an abundant number, since it is smaller than the sum of its proper divisors (473307074912).

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

221973327520 is a wasteful number, since it uses less digits than its factorization.

221973327520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 43.

The spelling of 221973327520 in words is "two hundred twenty-one billion, nine hundred seventy-three million, three hundred twenty-seven thousand, five hundred twenty".