11322563040288 has 72 divisors (see below), whose sum is σ = 32217513836508. Its totient is φ = 3771963482112.

The previous prime is 11322563040287. The next prime is 11322563040311. The reversal of 11322563040288 is 88204036522311.

11322563040288 is a `hidden beast` number, since 1 + 1 + 3 + 2 + 2 + 5 + 630 + 4 + 0 + 2 + 8 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9135796412304 + 2186766627984 = 3022548^2 + 1478772^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×11322563040288² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11322563040281) 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 11 ways as a sum of consecutive naturals, for example, 11094781 + ... + 12072252.

Almost surely, 2^{11322563040288} is an apocalyptic number.

11322563040288 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

11322563040288 is an abundant number, since it is smaller than the sum of its proper divisors (20894950796220).

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

11322563040288 is a wasteful number, since it uses less digits than its factorization.

11322563040288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23168746 (or 23168735 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

Adding to 11322563040288 its reverse (88204036522311), we get a palindrome (99526599562599).

The spelling of 11322563040288 in words is "eleven trillion, three hundred twenty-two billion, five hundred sixty-three million, forty thousand, two hundred eighty-eight".