11131076320 has 384 divisors, whose sum is σ = 34603075584. Its totient is φ = 3287015424.

The previous prime is 11131076309. The next prime is 11131076339. The reversal of 11131076320 is 2367013111.

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, 14399454 + ... + 14400226.

It is an arithmetic number, because the mean of its divisors is an integer number (90112176).

Almost surely, 2^11131076320 is an apocalyptic number.

11131076320 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 11131076320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17301537792).

11131076320 is an abundant number, since it is smaller than the sum of its proper divisors (23471999264).

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

11131076320 is a wasteful number, since it uses less digits than its factorization.

11131076320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 874 (or 866 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 25.

Adding to 11131076320 its reverse (2367013111), we get a palindrome (13498089431).

The spelling of 11131076320 in words is "eleven billion, one hundred thirty-one million, seventy-six thousand, three hundred twenty".