11485069272 has 256 divisors, whose sum is σ = 33530112000. Its totient is φ = 3639914496.

The previous prime is 11485069229. The next prime is 11485069273. The reversal of 11485069272 is 27296058411.

11485069272 is a `hidden beast` number, since 11 + 48 + 506 + 92 + 7 + 2 = 666.

11485069272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11485069273) 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 63 ways as a sum of consecutive naturals, for example, 105367554 + ... + 105367662.

It is an arithmetic number, because the mean of its divisors is an integer number (130977000).

Almost surely, 2^11485069272 is an apocalyptic number.

11485069272 is a gapful number since it is divisible by the number (12) 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 11485069272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16765056000).

11485069272 is an abundant number, since it is smaller than the sum of its proper divisors (22045042728).

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

11485069272 is a wasteful number, since it uses less digits than its factorization.

11485069272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 11485069272 in words is "eleven billion, four hundred eighty-five million, sixty-nine thousand, two hundred seventy-two".