11983204800 has 1512 divisors, whose sum is σ = 55872455184. Its totient is φ = 2508226560.

The previous prime is 11983204799. The next prime is 11983204813. The reversal of 11983204800 is 840238911.

It is a tau number, because it is divible by the number of its divisors (1512).

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 215 ways as a sum of consecutive naturals, for example, 323870382 + ... + 323870418.

It is an arithmetic number, because the mean of its divisors is an integer number (36952682).

Almost surely, 2^11983204800 is an apocalyptic number.

11983204800 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 11983204800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27936227592).

11983204800 is an abundant number, since it is smaller than the sum of its proper divisors (43889250384).

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

11983204800 is a wasteful number, since it uses less digits than its factorization.

11983204800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 11983204800 in words is "eleven billion, nine hundred eighty-three million, two hundred four thousand, eight hundred".