11533543040 has 64 divisors (see below), whose sum is σ = 27594639360. Its totient is φ = 4609692672.

The previous prime is 11533543037. The next prime is 11533543103. The reversal of 11533543040 is 4034533511.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 11533542994 and 11533543012.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 868289 + ... + 881471.

It is an arithmetic number, because the mean of its divisors is an integer number (431166240).

Almost surely, 2^11533543040 is an apocalyptic number.

11533543040 is a gapful number since it is divisible by the number (10) 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 11533543040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13797319680).

11533543040 is an abundant number, since it is smaller than the sum of its proper divisors (16061096320).

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

11533543040 is a wasteful number, since it uses less digits than its factorization.

11533543040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14569 (or 14557 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 29.

The spelling of 11533543040 in words is "eleven billion, five hundred thirty-three million, five hundred forty-three thousand, forty".