22420758960 has 320 divisors, whose sum is σ = 78594969600. Its totient is φ = 5873928192.

The previous prime is 22420758953. The next prime is 22420758977. The reversal of 22420758960 is 6985702422.

22420758960 is a `hidden beast` number, since 2 + 2 + 4 + 2 + 0 + 7 + 589 + 60 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 42869259 + ... + 42869781.

It is an arithmetic number, because the mean of its divisors is an integer number (245609280).

Almost surely, 2^22420758960 is an apocalyptic number.

22420758960 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 22420758960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39297484800).

22420758960 is an abundant number, since it is smaller than the sum of its proper divisors (56174210640).

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

22420758960 is a wasteful number, since it uses less digits than its factorization.

22420758960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 857 (or 845 counting only the distinct ones).

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

The spelling of 22420758960 in words is "twenty-two billion, four hundred twenty million, seven hundred fifty-eight thousand, nine hundred sixty".