22869319680 has 560 divisors, whose sum is σ = 84067201944. Its totient is φ = 5945425920.

The previous prime is 22869319679. The next prime is 22869319687. The reversal of 22869319680 is 8691396822.

It can be written as a sum of positive squares in 4 ways, for example, as 4857532416 + 18011787264 = 69696^2 + 134208^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (22869319687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 202383304 + ... + 202383416.

Almost surely, 2^22869319680 is an apocalyptic number.

22869319680 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 22869319680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42033600972).

22869319680 is an abundant number, since it is smaller than the sum of its proper divisors (61197882264).

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

22869319680 is an equidigital number, since it uses as much as digits as its factorization.

22869319680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 22869319680 in words is "twenty-two billion, eight hundred sixty-nine million, three hundred nineteen thousand, six hundred eighty".