22216378562560 has 1536 divisors, whose sum is σ = 72992005632000. Its totient is φ = 6289581146112.

The previous prime is 22216378562519. The next prime is 22216378562569. The reversal of 22216378562560 is 6526587361222.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22216378562569) 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 127 ways as a sum of consecutive naturals, for example, 36242052814 + ... + 36242053426.

It is an arithmetic number, because the mean of its divisors is an integer number (47520837000).

Almost surely, 2^{22216378562560} is an apocalyptic number.

22216378562560 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 22216378562560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36496002816000).

22216378562560 is an abundant number, since it is smaller than the sum of its proper divisors (50775627069440).

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

22216378562560 is a wasteful number, since it uses less digits than its factorization.

22216378562560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 791 (or 771 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 55.

The spelling of 22216378562560 in words is "twenty-two trillion, two hundred sixteen billion, three hundred seventy-eight million, five hundred sixty-two thousand, five hundred sixty".