11528566272 has 320 divisors, whose sum is σ = 35723160000. Its totient is φ = 3666345984.

The previous prime is 11528566187. The next prime is 11528566327. The reversal of 11528566272 is 27266582511.

11528566272 is a `hidden beast` number, since 1 + 1 + 528 + 56 + 6 + 2 + 72 = 666.

11528566272 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 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 31 ways as a sum of consecutive naturals, for example, 59733408 + ... + 59733600.

It is an arithmetic number, because the mean of its divisors is an integer number (111634875).

Almost surely, 2^11528566272 is an apocalyptic number.

11528566272 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 11528566272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17861580000).

11528566272 is an abundant number, since it is smaller than the sum of its proper divisors (24194593728).

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

11528566272 is a wasteful number, since it uses less digits than its factorization.

11528566272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398 (or 376 counting only the distinct ones).

The product of its digits is 403200, while the sum is 45.

The spelling of 11528566272 in words is "eleven billion, five hundred twenty-eight million, five hundred sixty-six thousand, two hundred seventy-two".