11533155511240 has 128 divisors (see below), whose sum is σ = 28537387499520. Its totient is φ = 4160001888000.

The previous prime is 11533155511193. The next prime is 11533155511261. The reversal of 11533155511240 is 4211555133511.

11533155511240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 11533155511240.

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, 315759619 + ... + 315796141.

It is an arithmetic number, because the mean of its divisors is an integer number (222948339840).

Almost surely, 2^{11533155511240} is an apocalyptic number.

11533155511240 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 11533155511240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14268693749760).

11533155511240 is an abundant number, since it is smaller than the sum of its proper divisors (17004231988280).

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

11533155511240 is a wasteful number, since it uses less digits than its factorization.

11533155511240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42323 (or 42319 counting only the distinct ones).

The product of its (nonzero) digits is 45000, while the sum is 37.

The spelling of 11533155511240 in words is "eleven trillion, five hundred thirty-three billion, one hundred fifty-five million, five hundred eleven thousand, two hundred forty".