11684830080 has 512 divisors, whose sum is σ = 47412864000. Its totient is φ = 2426511360.

The previous prime is 11684830067. The next prime is 11684830081. The reversal of 11684830080 is 8003848611.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11684830081) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7243354 + ... + 7244966.

It is an arithmetic number, because the mean of its divisors is an integer number (92603250).

Almost surely, 2^11684830080 is an apocalyptic number.

11684830080 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 11684830080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23706432000).

11684830080 is an abundant number, since it is smaller than the sum of its proper divisors (35728033920).

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

11684830080 is a wasteful number, since it uses less digits than its factorization.

11684830080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1667 (or 1641 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 39.

The spelling of 11684830080 in words is "eleven billion, six hundred eighty-four million, eight hundred thirty thousand, eighty".