22575200256 has 240 divisors, whose sum is σ = 77067310320. Its totient is φ = 6449725440.

The previous prime is 22575200233. The next prime is 22575200273. The reversal of 22575200256 is 65200257522.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 22575200256.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1151496 + ... + 1170936.

It is an arithmetic number, because the mean of its divisors is an integer number (321113793).

Almost surely, 2^22575200256 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 22575200256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38533655160).

22575200256 is an abundant number, since it is smaller than the sum of its proper divisors (54492110064).

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

22575200256 is an equidigital number, since it uses as much as digits as its factorization.

22575200256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19482 (or 19453 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 36.

Adding to 22575200256 its reverse (65200257522), we get a palindrome (87775457778).

The spelling of 22575200256 in words is "twenty-two billion, five hundred seventy-five million, two hundred thousand, two hundred fifty-six".