11556540240 has 240 divisors, whose sum is σ = 43868531520. Its totient is φ = 2502420480.

The previous prime is 11556540199. The next prime is 11556540287. The reversal of 11556540240 is 4204565511.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 197580 + ... + 249300.

It is an arithmetic number, because the mean of its divisors is an integer number (182785548).

Almost surely, 2^11556540240 is an apocalyptic number.

11556540240 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 11556540240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21934265760).

11556540240 is an abundant number, since it is smaller than the sum of its proper divisors (32311991280).

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

11556540240 is a wasteful number, since it uses less digits than its factorization.

11556540240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51770 (or 51757 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 33.

The spelling of 11556540240 in words is "eleven billion, five hundred fifty-six million, five hundred forty thousand, two hundred forty".