22561689024 has 224 divisors, whose sum is σ = 75960061440. Its totient is φ = 6432804864.

The previous prime is 22561689013. The next prime is 22561689037. The reversal of 22561689024 is 42098616522.

22561689024 is a `hidden beast` number, since 2 + 2 + 5 + 616 + 8 + 9 + 0 + 24 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

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 31 ways as a sum of consecutive naturals, for example, 6808392 + ... + 6811704.

Almost surely, 2^22561689024 is an apocalyptic number.

22561689024 is a gapful number since it is divisible by the number (24) 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 22561689024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37980030720).

22561689024 is an abundant number, since it is smaller than the sum of its proper divisors (53398372416).

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

22561689024 is a wasteful number, since it uses less digits than its factorization.

22561689024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3904 (or 3888 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 22561689024 in words is "twenty-two billion, five hundred sixty-one million, six hundred eighty-nine thousand, twenty-four".