22102020864 has 864 divisors, whose sum is σ = 85710643200. Its totient is φ = 5305098240.

The previous prime is 22102020713. The next prime is 22102020869. The reversal of 22102020864 is 46802020122.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (22102020869) 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 95 ways as a sum of consecutive naturals, for example, 266289367 + ... + 266289449.

Almost surely, 2^22102020864 is an apocalyptic number.

22102020864 is a gapful number since it is divisible by the number (24) 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 22102020864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42855321600).

22102020864 is an abundant number, since it is smaller than the sum of its proper divisors (63608622336).

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

22102020864 is a wasteful number, since it uses less digits than its factorization.

22102020864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 22102020864 its reverse (46802020122), we get a palindrome (68904040986).

The spelling of 22102020864 in words is "twenty-two billion, one hundred two million, twenty thousand, eight hundred sixty-four".