22268511286560 has 2304 divisors, whose sum is σ = 103241206333440. Its totient is φ = 4381632921600.

The previous prime is 22268511286547. The next prime is 22268511286583. The reversal of 22268511286560 is 6568211586222.

22268511286560 is a `hidden beast` number, since 2 + 2 + 2 + 6 + 8 + 51 + 1 + 28 + 6 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 22268511286497 and 22268511286506.

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 383 ways as a sum of consecutive naturals, for example, 5331219192 + ... + 5331223368.

It is an arithmetic number, because the mean of its divisors is an integer number (44809551360).

Almost surely, 2^{22268511286560} is an apocalyptic number.

22268511286560 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 22268511286560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51620603166720).

22268511286560 is an abundant number, since it is smaller than the sum of its proper divisors (80972695046880).

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

22268511286560 is a wasteful number, since it uses less digits than its factorization.

22268511286560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4308 (or 4283 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 54.

The spelling of 22268511286560 in words is "twenty-two trillion, two hundred sixty-eight billion, five hundred eleven million, two hundred eighty-six thousand, five hundred sixty".