11811537528 has 128 divisors (see below), whose sum is σ = 34818846720. Its totient is φ = 3268408320.

The previous prime is 11811537499. The next prime is 11811537533. The reversal of 11811537528 is 82573511811.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 11811537528.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1381908 + ... + 1390428.

It is an arithmetic number, because the mean of its divisors is an integer number (272022240).

Almost surely, 2^11811537528 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11811537528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17409423360).

11811537528 is an abundant number, since it is smaller than the sum of its proper divisors (23007309192).

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

11811537528 is a wasteful number, since it uses less digits than its factorization.

11811537528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8797 (or 8793 counting only the distinct ones).

The product of its digits is 67200, while the sum is 42.

The spelling of 11811537528 in words is "eleven billion, eight hundred eleven million, five hundred thirty-seven thousand, five hundred twenty-eight".