11131208760 has 256 divisors, whose sum is σ = 40111948800. Its totient is φ = 2417651712.

The previous prime is 11131208749. The next prime is 11131208791. The reversal of 11131208760 is 6780213111.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1332276 + ... + 1340604.

It is an arithmetic number, because the mean of its divisors is an integer number (156687300).

Almost surely, 2^11131208760 is an apocalyptic number.

11131208760 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 11131208760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20055974400).

11131208760 is an abundant number, since it is smaller than the sum of its proper divisors (28980740040).

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

11131208760 is a wasteful number, since it uses less digits than its factorization.

11131208760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8430 (or 8426 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 30.

The spelling of 11131208760 in words is "eleven billion, one hundred thirty-one million, two hundred eight thousand, seven hundred sixty".