22785916608 has 672 divisors, whose sum is σ = 85444136960. Its totient is φ = 5643509760.

The previous prime is 22785916603. The next prime is 22785916633. The reversal of 22785916608 is 80661958722.

22785916608 is a `hidden beast` number, since 2 + 27 + 8 + 5 + 9 + 1 + 6 + 608 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is not an unprimeable number, because it can be changed into a prime (22785916603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 60120963 + ... + 60121341.

Almost surely, 2^22785916608 is an apocalyptic number.

22785916608 is a gapful number since it is divisible by the number (28) 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 22785916608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42722068480).

22785916608 is an abundant number, since it is smaller than the sum of its proper divisors (62658220352).

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

22785916608 is a wasteful number, since it uses less digits than its factorization.

22785916608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 22785916608 in words is "twenty-two billion, seven hundred eighty-five million, nine hundred sixteen thousand, six hundred eight".