22135580256 has 96 divisors (see below), whose sum is σ = 60825655296. Its totient is φ = 7039872000.

The previous prime is 22135580251. The next prime is 22135580273. The reversal of 22135580256 is 65208553122.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22135580251) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 158916 + ... + 263676.

It is an arithmetic number, because the mean of its divisors is an integer number (633600576).

Almost surely, 2^22135580256 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22135580256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30412827648).

22135580256 is an abundant number, since it is smaller than the sum of its proper divisors (38690075040).

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

22135580256 is a wasteful number, since it uses less digits than its factorization.

22135580256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104876 (or 104868 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 39.

The spelling of 22135580256 in words is "twenty-two billion, one hundred thirty-five million, five hundred eighty thousand, two hundred fifty-six".