221105405603500 has 192 divisors, whose sum is σ = 549724083277824. Its totient is φ = 76902544224000.

The previous prime is 221105405603429. The next prime is 221105405603549. The reversal of 221105405603500 is 5306504501122.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5025443502 + ... + 5025487498.

It is an arithmetic number, because the mean of its divisors is an integer number (2863146267072).

Almost surely, 2^{221105405603500} is an apocalyptic number.

221105405603500 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 221105405603500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274862041638912).

221105405603500 is an abundant number, since it is smaller than the sum of its proper divisors (328618677674324).

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

221105405603500 is a wasteful number, since it uses less digits than its factorization.

221105405603500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83777 (or 83765 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 34.

The spelling of 221105405603500 in words is "two hundred twenty-one trillion, one hundred five billion, four hundred five million, six hundred three thousand, five hundred".