11540115540 has 144 divisors (see below), whose sum is σ = 36083855808. Its totient is φ = 2983583232.

The previous prime is 11540115539. The next prime is 11540115547. The reversal of 11540115540 is 4551104511.

11540115540 is a `hidden beast` number, since 1 + 1 + 5 + 4 + 0 + 115 + 540 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11540115547) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1054939 + ... + 1065821.

It is an arithmetic number, because the mean of its divisors is an integer number (250582332).

Almost surely, 2^11540115540 is an apocalyptic number.

11540115540 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 11540115540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18041927904).

11540115540 is an abundant number, since it is smaller than the sum of its proper divisors (24543740268).

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

11540115540 is a wasteful number, since it uses less digits than its factorization.

11540115540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11078 (or 11073 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 27.

The spelling of 11540115540 in words is "eleven billion, five hundred forty million, one hundred fifteen thousand, five hundred forty".