22842709560 has 768 divisors, whose sum is σ = 89159616000. Its totient is φ = 5208053760.

The previous prime is 22842709523. The next prime is 22842709579. The reversal of 22842709560 is 6590724822.

22842709560 is a `hidden beast` number, since 2 + 2 + 84 + 2 + 7 + 0 + 9 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 164335971 + ... + 164336109.

It is an arithmetic number, because the mean of its divisors is an integer number (116093250).

Almost surely, 2^22842709560 is an apocalyptic number.

22842709560 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 22842709560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44579808000).

22842709560 is an abundant number, since it is smaller than the sum of its proper divisors (66316906440).

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

22842709560 is a wasteful number, since it uses less digits than its factorization.

22842709560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 22842709560 in words is "twenty-two billion, eight hundred forty-two million, seven hundred nine thousand, five hundred sixty".