5984969472000 has 2304 divisors, whose sum is σ = 24108760166400. Its totient is φ = 1477332172800.

The previous prime is 5984969471981. The next prime is 5984969472007. The reversal of 5984969472000 is 2749694895.

5984969472000 is a `hidden beast` number, since 59 + 8 + 496 + 94 + 7 + 2 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5984969472007) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 67246847956 + ... + 67246848044.

It is an arithmetic number, because the mean of its divisors is an integer number (10463871600).

Almost surely, 2^{5984969472000} is an apocalyptic number.

5984969472000 is a gapful number since it is divisible by the number (50) 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 5984969472000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12054380083200).

5984969472000 is an abundant number, since it is smaller than the sum of its proper divisors (18123790694400).

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

5984969472000 is an equidigital number, since it uses as much as digits as its factorization.

5984969472000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 5984969472000 in words is "five trillion, nine hundred eighty-four billion, nine hundred sixty-nine million, four hundred seventy-two thousand".