11983559884800 has 768 divisors, whose sum is σ = 45732181048320. Its totient is φ = 2712105123840.

The previous prime is 11983559884799. The next prime is 11983559884801. The reversal of 11983559884800 is 848895538911.

It is an interprime number because it is at equal distance from previous prime (11983559884799) and next prime (11983559884801).

It is a tau number, because it is divible by the number of its divisors (768).

It is not an unprimeable number, because it can be changed into a prime (11983559884801) 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, 1771926219 + ... + 1771932981.

It is an arithmetic number, because the mean of its divisors is an integer number (59547110740).

Almost surely, 2^{11983559884800} is an apocalyptic number.

11983559884800 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 11983559884800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22866090524160).

11983559884800 is an abundant number, since it is smaller than the sum of its proper divisors (33748621163520).

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

11983559884800 is an equidigital number, since it uses as much as digits as its factorization.

11983559884800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6916 (or 6883 counting only the distinct ones).

The product of its (nonzero) digits is 99532800, while the sum is 69.

The spelling of 11983559884800 in words is "eleven trillion, nine hundred eighty-three billion, five hundred fifty-nine million, eight hundred eighty-four thousand, eight hundred".