11528641872 has 150 divisors (see below), whose sum is σ = 36676880394. Its totient is φ = 3493480320.

The previous prime is 11528641853. The next prime is 11528641939. The reversal of 11528641872 is 27814682511.

11528641872 is a `hidden beast` number, since 1 + 1 + 528 + 6 + 41 + 87 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 11347362576 + 181279296 = 106524^2 + 13464^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 120058 + ... + 193574.

Almost surely, 2^11528641872 is an apocalyptic number.

11528641872 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 11528641872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18338440197).

11528641872 is an abundant number, since it is smaller than the sum of its proper divisors (25148238522).

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

11528641872 is a wasteful number, since it uses less digits than its factorization.

11528641872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73559 (or 73533 counting only the distinct ones).

The product of its digits is 215040, while the sum is 45.

The spelling of 11528641872 in words is "eleven billion, five hundred twenty-eight million, six hundred forty-one thousand, eight hundred seventy-two".