11682170880 has 192 divisors, whose sum is σ = 37619225280. Its totient is φ = 3094806528.

The previous prime is 11682170821. The next prime is 11682170909. The reversal of 11682170880 is 8807128611.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5006194 + ... + 5008526.

It is an arithmetic number, because the mean of its divisors is an integer number (195933465).

Almost surely, 2^11682170880 is an apocalyptic number.

11682170880 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 11682170880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18809612640).

11682170880 is an abundant number, since it is smaller than the sum of its proper divisors (25937054400).

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

11682170880 is a wasteful number, since it uses less digits than its factorization.

11682170880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2526 (or 2506 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 42.

The spelling of 11682170880 in words is "eleven billion, six hundred eighty-two million, one hundred seventy thousand, eight hundred eighty".