11179616840 has 128 divisors (see below), whose sum is σ = 30611001600. Its totient is φ = 3587112960.

The previous prime is 11179616839. The next prime is 11179616843. The reversal of 11179616840 is 4861697111.

It is a junction number, because it is equal to n+sod(n) for n = 11179616791 and 11179616800.

It is not an unprimeable number, because it can be changed into a prime (11179616843) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 845480 + ... + 858600.

It is an arithmetic number, because the mean of its divisors is an integer number (239148450).

Almost surely, 2^11179616840 is an apocalyptic number.

11179616840 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 11179616840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15305500800).

11179616840 is an abundant number, since it is smaller than the sum of its proper divisors (19431384760).

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

11179616840 is a wasteful number, since it uses less digits than its factorization.

11179616840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13335 (or 13331 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 44.

The spelling of 11179616840 in words is "eleven billion, one hundred seventy-nine million, six hundred sixteen thousand, eight hundred forty".