11760610240 has 112 divisors (see below), whose sum is σ = 29310543360. Its totient is φ = 4486169600.

The previous prime is 11760610223. The next prime is 11760610241. The reversal of 11760610240 is 4201606711.

It is a junction number, because it is equal to n+sod(n) for n = 11760610199 and 11760610208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11760610241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2640015 + ... + 2644465.

It is an arithmetic number, because the mean of its divisors is an integer number (261701280).

Almost surely, 2^11760610240 is an apocalyptic number.

11760610240 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 11760610240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14655271680).

11760610240 is an abundant number, since it is smaller than the sum of its proper divisors (17549933120).

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

11760610240 is a wasteful number, since it uses less digits than its factorization.

11760610240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4850 (or 4840 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 28.

The spelling of 11760610240 in words is "eleven billion, seven hundred sixty million, six hundred ten thousand, two hundred forty".