11540155152 has 160 divisors (see below), whose sum is σ = 32397926400. Its totient is φ = 3525781504.

The previous prime is 11540155129. The next prime is 11540155157. The reversal of 11540155152 is 25155104511.

11540155152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (11540155157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9165499 + ... + 9166757.

It is an arithmetic number, because the mean of its divisors is an integer number (202487040).

Almost surely, 2^11540155152 is an apocalyptic number.

11540155152 is a gapful number since it is divisible by the number (12) 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 11540155152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16198963200).

11540155152 is an abundant number, since it is smaller than the sum of its proper divisors (20857771248).

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

11540155152 is a wasteful number, since it uses less digits than its factorization.

11540155152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1573 (or 1567 counting only the distinct ones).

The product of its (nonzero) digits is 5000, while the sum is 30.

Adding to 11540155152 its reverse (25155104511), we get a palindrome (36695259663).

The spelling of 11540155152 in words is "eleven billion, five hundred forty million, one hundred fifty-five thousand, one hundred fifty-two".