221023012560 has 640 divisors, whose sum is σ = 851232374784. Its totient is φ = 46293811200.

The previous prime is 221023012549. The next prime is 221023012579. The reversal of 221023012560 is 65210320122.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 221023012560.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 228565197 + ... + 228566163.

Almost surely, 2^221023012560 is an apocalyptic number.

221023012560 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 221023012560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425616187392).

221023012560 is an abundant number, since it is smaller than the sum of its proper divisors (630209362224).

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

221023012560 is a wasteful number, since it uses less digits than its factorization.

221023012560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1211 (or 1205 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 221023012560 its reverse (65210320122), we get a palindrome (286233332682).

The spelling of 221023012560 in words is "two hundred twenty-one billion, twenty-three million, twelve thousand, five hundred sixty".