22219751680 has 432 divisors, whose sum is σ = 65799990144. Its totient is φ = 7153090560.

The previous prime is 22219751677. The next prime is 22219751693. The reversal of 22219751680 is 8615791222.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 105306775 + ... + 105306985.

It is an arithmetic number, because the mean of its divisors is an integer number (152314792).

Almost surely, 2^22219751680 is an apocalyptic number.

22219751680 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 22219751680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32899995072).

22219751680 is an abundant number, since it is smaller than the sum of its proper divisors (43580238464).

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

22219751680 is a wasteful number, since it uses less digits than its factorization.

22219751680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 43.

The spelling of 22219751680 in words is "twenty-two billion, two hundred nineteen million, seven hundred fifty-one thousand, six hundred eighty".