22005096960 has 640 divisors, whose sum is σ = 88698322944. Its totient is φ = 4521000960.

The previous prime is 22005096941. The next prime is 22005096979. The reversal of 22005096960 is 6969050022.

It is an interprime number because it is at equal distance from previous prime (22005096941) and next prime (22005096979).

It is a tau number, because it is divible by the number of its divisors (640).

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, 75102574 + ... + 75102866.

Almost surely, 2^22005096960 is an apocalyptic number.

22005096960 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 22005096960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44349161472).

22005096960 is an abundant number, since it is smaller than the sum of its proper divisors (66693225984).

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

22005096960 is a wasteful number, since it uses less digits than its factorization.

22005096960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 464 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 39.

The spelling of 22005096960 in words is "twenty-two billion, five million, ninety-six thousand, nine hundred sixty".