22461042560 has 256 divisors, whose sum is σ = 61125580800. Its totient is φ = 7818240000.

The previous prime is 22461042559. The next prime is 22461042563. The reversal of 22461042560 is 6524016422.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22461042563) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22041731 + ... + 22042749.

It is an arithmetic number, because the mean of its divisors is an integer number (238771800).

Almost surely, 2^22461042560 is an apocalyptic number.

22461042560 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 22461042560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30562790400).

22461042560 is an abundant number, since it is smaller than the sum of its proper divisors (38664538240).

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

22461042560 is a wasteful number, since it uses less digits than its factorization.

22461042560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1181 (or 1169 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

Adding to 22461042560 its reverse (6524016422), we get a palindrome (28985058982).

The spelling of 22461042560 in words is "twenty-two billion, four hundred sixty-one million, forty-two thousand, five hundred sixty".