11359180800 has 864 divisors, whose sum is σ = 46577643840. Its totient is φ = 2720563200.

The previous prime is 11359180793. The next prime is 11359180879. The reversal of 11359180800 is 808195311.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 136857559 + ... + 136857641.

It is an arithmetic number, because the mean of its divisors is an integer number (53909310).

Almost surely, 2^11359180800 is an apocalyptic number.

11359180800 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 11359180800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23288821920).

11359180800 is an abundant number, since it is smaller than the sum of its proper divisors (35218463040).

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

11359180800 is an equidigital number, since it uses as much as digits as its factorization.

11359180800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 36.

The spelling of 11359180800 in words is "eleven billion, three hundred fifty-nine million, one hundred eighty thousand, eight hundred".