22272515561760 has 192 divisors, whose sum is σ = 71229411469440. Its totient is φ = 5849203712000.

The previous prime is 22272515561753. The next prime is 22272515561771. The reversal of 22272515561760 is 6716551527222.

It is a happy number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 9684154 + ... + 11761286.

It is an arithmetic number, because the mean of its divisors is an integer number (370986518070).

Almost surely, 2^{22272515561760} is an apocalyptic number.

22272515561760 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 22272515561760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35614705734720).

22272515561760 is an abundant number, since it is smaller than the sum of its proper divisors (48956895907680).

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

22272515561760 is a wasteful number, since it uses less digits than its factorization.

22272515561760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2077491 (or 2077483 counting only the distinct ones).

The product of its (nonzero) digits is 3528000, while the sum is 51.

The spelling of 22272515561760 in words is "twenty-two trillion, two hundred seventy-two billion, five hundred fifteen million, five hundred sixty-one thousand, seven hundred sixty".