11135600032 has 72 divisors (see below), whose sum is σ = 24092310060. Its totient is φ = 5059461120.

The previous prime is 11135600023. The next prime is 11135600053. The reversal of 11135600032 is 23000653111.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 10299002256 + 836597776 = 101484^2 + 28924^2 .

It is a junction number, because it is equal to n+sod(n) for n = 11135599976 and 11135600012.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 247432 + ... + 288952.

Almost surely, 2^11135600032 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 11135600032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12046155030).

11135600032 is an abundant number, since it is smaller than the sum of its proper divisors (12956710028).

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

11135600032 is a wasteful number, since it uses less digits than its factorization.

11135600032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41594 (or 41569 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 22.

The spelling of 11135600032 in words is "eleven billion, one hundred thirty-five million, six hundred thousand, thirty-two".