11007063360 has 504 divisors, whose sum is σ = 40487684328. Its totient is φ = 2742681600.

The previous prime is 11007063359. The next prime is 11007063367. The reversal of 11007063360 is 6336070011.

It can be written as a sum of positive squares in 4 ways, for example, as 2214144 + 11004849216 = 1488^2 + 104904^2 .

It is a super-2 number, since 2×11007063360² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11007063367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 113474832 + ... + 113474928.

It is an arithmetic number, because the mean of its divisors is an integer number (80332707).

Almost surely, 2^11007063360 is an apocalyptic number.

11007063360 is a gapful number since it is divisible by the number (10) 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 11007063360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20243842164).

11007063360 is an abundant number, since it is smaller than the sum of its proper divisors (29480620968).

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

11007063360 is a wasteful number, since it uses less digits than its factorization.

11007063360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The spelling of 11007063360 in words is "eleven billion, seven million, sixty-three thousand, three hundred sixty".