11689876800 has 1344 divisors, whose sum is σ = 53215641600. Its totient is φ = 2438553600.

The previous prime is 11689876741. The next prime is 11689876817. The reversal of 11689876800 is 867898611.

It is a tau number, because it is divible by the number of its divisors (1344).

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 191 ways as a sum of consecutive naturals, for example, 271857579 + ... + 271857621.

Almost surely, 2^11689876800 is an apocalyptic number.

11689876800 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 11689876800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26607820800).

11689876800 is an abundant number, since it is smaller than the sum of its proper divisors (41525764800).

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

11689876800 is a wasteful number, since it uses less digits than its factorization.

11689876800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 54.

The spelling of 11689876800 in words is "eleven billion, six hundred eighty-nine million, eight hundred seventy-six thousand, eight hundred".