11266320072 has 32 divisors (see below), whose sum is σ = 32189486400. Its totient is φ = 3218948544.

The previous prime is 11266320071. The next prime is 11266320089. The reversal of 11266320072 is 27002366211.

11266320072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×11266320072⁴ (a number of 41 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (11266320071) 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 7 ways as a sum of consecutive naturals, for example, 33530547 + ... + 33530882.

It is an arithmetic number, because the mean of its divisors is an integer number (1005921450).

Almost surely, 2^11266320072 is an apocalyptic number.

11266320072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11266320072 is an abundant number, since it is smaller than the sum of its proper divisors (20923166328).

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

11266320072 is a wasteful number, since it uses less digits than its factorization.

11266320072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67061445 (or 67061441 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

Adding to 11266320072 its reverse (27002366211), we get a palindrome (38268686283).

The spelling of 11266320072 in words is "eleven billion, two hundred sixty-six million, three hundred twenty thousand, seventy-two".