11535135552040 has 32 divisors (see below), whose sum is σ = 26791282575360. Its totient is φ = 4465213761600.

The previous prime is 11535135551983. The next prime is 11535135552067. The reversal of 11535135552040 is 4025553153511.

11535135552040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 11535135551984 and 11535135552002.

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, 4651263096 + ... + 4651265575.

It is an arithmetic number, because the mean of its divisors is an integer number (837227580480).

Almost surely, 2^{11535135552040} is an apocalyptic number.

11535135552040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11535135552040 is an abundant number, since it is smaller than the sum of its proper divisors (15256147023320).

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

11535135552040 is a wasteful number, since it uses less digits than its factorization.

11535135552040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9302528713 (or 9302528709 counting only the distinct ones).

The product of its (nonzero) digits is 225000, while the sum is 40.

The spelling of 11535135552040 in words is "eleven trillion, five hundred thirty-five billion, one hundred thirty-five million, five hundred fifty-two thousand, forty".