11984160988800 has 8640 divisors, whose sum is σ = 67047480561600. Its totient is φ = 2049579417600.

The previous prime is 11984160988741. The next prime is 11984160988823. The reversal of 11984160988800 is 888906148911.

11984160988800 is a `hidden beast` number, since 1 + 19 + 8 + 4 + 1 + 609 + 8 + 8 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (8640).

It is a super-2 number, since 2×11984160988800² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 1079 ways as a sum of consecutive naturals, for example, 630745315191 + ... + 630745315209.

It is an arithmetic number, because the mean of its divisors is an integer number (7760125065).

Almost surely, 2^{11984160988800} is an apocalyptic number.

11984160988800 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 11984160988800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33523740280800).

11984160988800 is an abundant number, since it is smaller than the sum of its proper divisors (55063319572800).

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

11984160988800 is a wasteful number, since it uses less digits than its factorization.

11984160988800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 63.

The spelling of 11984160988800 in words is "eleven trillion, nine hundred eighty-four billion, one hundred sixty million, nine hundred eighty-eight thousand, eight hundred".