11932876800 has 720 divisors, whose sum is σ = 47782150080. Its totient is φ = 2901934080.

The previous prime is 11932876789. The next prime is 11932876801. The reversal of 11932876800 is 867823911.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11932876801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 143769559 + ... + 143769641.

Almost surely, 2^11932876800 is an apocalyptic number.

11932876800 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 11932876800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23891075040).

11932876800 is an abundant number, since it is smaller than the sum of its proper divisors (35849273280).

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

11932876800 is an equidigital number, since it uses as much as digits as its factorization.

11932876800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 11932876800 in words is "eleven billion, nine hundred thirty-two million, eight hundred seventy-six thousand, eight hundred".