22421575680 has 384 divisors, whose sum is σ = 82725027840. Its totient is φ = 5078384640.

The previous prime is 22421575663. The next prime is 22421575681. The reversal of 22421575680 is 8657512422.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22421575681) 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, 27309670 + ... + 27310490.

It is an arithmetic number, because the mean of its divisors is an integer number (215429760).

Almost surely, 2^22421575680 is an apocalyptic number.

22421575680 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 22421575680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41362513920).

22421575680 is an abundant number, since it is smaller than the sum of its proper divisors (60303452160).

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

22421575680 is a wasteful number, since it uses less digits than its factorization.

22421575680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 985 (or 965 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 42.

The spelling of 22421575680 in words is "twenty-two billion, four hundred twenty-one million, five hundred seventy-five thousand, six hundred eighty".