11668844880 has 640 divisors, whose sum is σ = 53070888960. Its totient is φ = 2281512960.

The previous prime is 11668844861. The next prime is 11668844917. The reversal of 11668844880 is 8844886611.

It is a happy number.

11668844880 is a `hidden beast` number, since 116 + 6 + 8 + 8 + 448 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2825377 + ... + 2829503.

It is an arithmetic number, because the mean of its divisors is an integer number (82923264).

Almost surely, 2^11668844880 is an apocalyptic number.

11668844880 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 11668844880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26535444480).

11668844880 is an abundant number, since it is smaller than the sum of its proper divisors (41402044080).

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

11668844880 is a wasteful number, since it uses less digits than its factorization.

11668844880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4184 (or 4172 counting only the distinct ones).

The product of its (nonzero) digits is 2359296, while the sum is 54.

The spelling of 11668844880 in words is "eleven billion, six hundred sixty-eight million, eight hundred forty-four thousand, eight hundred eighty".