22405222609920 has 264 divisors, whose sum is σ = 77642079114600. Its totient is φ = 5974066790400.

The previous prime is 22405222609823. The next prime is 22405222609949. The reversal of 22405222609920 is 2990622250422.

It is a happy number.

22405222609920 is a `hidden beast` number, since 2 + 2 + 40 + 522 + 2 + 60 + 9 + 9 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 10808418963456 + 11596803646464 = 3287616^2 + 3405408^2 .

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 532156870 + ... + 532198970.

It is an arithmetic number, because the mean of its divisors is an integer number (294098784525).

Almost surely, 2^{22405222609920} is an apocalyptic number.

22405222609920 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 22405222609920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38821039557300).

22405222609920 is an abundant number, since it is smaller than the sum of its proper divisors (55236856504680).

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

22405222609920 is a wasteful number, since it uses less digits than its factorization.

22405222609920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53681 (or 53660 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 22405222609920 in words is "twenty-two trillion, four hundred five billion, two hundred twenty-two million, six hundred nine thousand, nine hundred twenty".