11533544135340 has 192 divisors, whose sum is σ = 33635514124800. Its totient is φ = 2949329926144.

The previous prime is 11533544135303. The next prime is 11533544135383. The reversal of 11533544135340 is 4353144533511.

It is a junction number, because it is equal to n+sod(n) for n = 11533544135292 and 11533544135301.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 257555032 + ... + 257599808.

It is an arithmetic number, because the mean of its divisors is an integer number (175184969400).

Almost surely, 2^{11533544135340} is an apocalyptic number.

11533544135340 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 11533544135340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16817757062400).

11533544135340 is an abundant number, since it is smaller than the sum of its proper divisors (22101969989460).

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

11533544135340 is a wasteful number, since it uses less digits than its factorization.

11533544135340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45824 (or 45822 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 42.

Adding to 11533544135340 its reverse (4353144533511), we get a palindrome (15886688668851).

The spelling of 11533544135340 in words is "eleven trillion, five hundred thirty-three billion, five hundred forty-four million, one hundred thirty-five thousand, three hundred forty".