11668999680 has 240 divisors, whose sum is σ = 43522839360. Its totient is φ = 2872295424.

The previous prime is 11668999619. The next prime is 11668999691. The reversal of 11668999680 is 8699986611.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 280041 + ... + 318999.

It is an arithmetic number, because the mean of its divisors is an integer number (181345164).

Almost surely, 2^11668999680 is an apocalyptic number.

11668999680 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 11668999680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21761419680).

11668999680 is an abundant number, since it is smaller than the sum of its proper divisors (31853839680).

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

11668999680 is a wasteful number, since it uses less digits than its factorization.

11668999680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39001 (or 38982 counting only the distinct ones).

The product of its (nonzero) digits is 10077696, while the sum is 63.

The spelling of 11668999680 in words is "eleven billion, six hundred sixty-eight million, nine hundred ninety-nine thousand, six hundred eighty".