221009950390320 has 1920 divisors, whose sum is σ = 1012559792025600. Its totient is φ = 43064466407424.

The previous prime is 221009950390301. The next prime is 221009950390403. The reversal of 221009950390320 is 23093059900122.

221009950390320 is a `hidden beast` number, since 2 + 2 + 100 + 9 + 9 + 503 + 9 + 0 + 32 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 3802031016 + ... + 3802089144.

It is an arithmetic number, because the mean of its divisors is an integer number (527374891680).

Almost surely, 2^{221009950390320} is an apocalyptic number.

221009950390320 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 221009950390320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506279896012800).

221009950390320 is an abundant number, since it is smaller than the sum of its proper divisors (791549841635280).

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

221009950390320 is a wasteful number, since it uses less digits than its factorization.

221009950390320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58252 (or 58211 counting only the distinct ones).

The product of its (nonzero) digits is 262440, while the sum is 45.

The spelling of 221009950390320 in words is "two hundred twenty-one trillion, nine billion, nine hundred fifty million, three hundred ninety thousand, three hundred twenty".