11882403013800 has 576 divisors, whose sum is σ = 42468029372160. Its totient is φ = 2743067289600.

The previous prime is 11882403013777. The next prime is 11882403013841. The reversal of 11882403013800 is 831030428811.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 126204342 + ... + 126298458.

It is an arithmetic number, because the mean of its divisors is an integer number (73729217660).

Almost surely, 2^{11882403013800} is an apocalyptic number.

11882403013800 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 11882403013800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21234014686080).

11882403013800 is an abundant number, since it is smaller than the sum of its proper divisors (30585626358360).

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

11882403013800 is a wasteful number, since it uses less digits than its factorization.

11882403013800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94242 (or 94222 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 39.

The spelling of 11882403013800 in words is "eleven trillion, eight hundred eighty-two billion, four hundred three million, thirteen thousand, eight hundred".