22212838567680 has 576 divisors, whose sum is σ = 75073371555840. Its totient is φ = 5581894975488.

The previous prime is 22212838567613. The next prime is 22212838567739. The reversal of 22212838567680 is 8676583821222.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16739139177 + ... + 16739140503.

Almost surely, 2^{22212838567680} is an apocalyptic number.

22212838567680 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 22212838567680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37536685777920).

22212838567680 is an abundant number, since it is smaller than the sum of its proper divisors (52860532988160).

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

22212838567680 is a wasteful number, since it uses less digits than its factorization.

22212838567680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2416 (or 2402 counting only the distinct ones).

The product of its (nonzero) digits is 30965760, while the sum is 60.

The spelling of 22212838567680 in words is "twenty-two trillion, two hundred twelve billion, eight hundred thirty-eight million, five hundred sixty-seven thousand, six hundred eighty".