5944066965504 has 312 divisors, whose sum is σ = 17832167076360. Its totient is φ = 1981355655168.

The previous prime is 5944066965493. The next prime is 5944066965527. The reversal of 5944066965504 is 4055696604495.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Jordan-Polya number, since it can be written as (4!)⁷ ⋅ (3!)⁴.

5944066965504 is a `hidden beast` number, since 5 + 9 + 4 + 4 + 0 + 6 + 69 + 65 + 504 = 666.

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1981355655167 + 1981355655168 + 1981355655169.

It is an arithmetic number, because the mean of its divisors is an integer number (57154381655).

Almost surely, 2^{5944066965504} is an apocalyptic number.

5944066965504 is a gapful number since it is divisible by the number (54) 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 5944066965504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8916083538180).

5944066965504 is an abundant number, since it is smaller than the sum of its proper divisors (11888100110856).

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

5944066965504 is an frugal number, since it uses more digits than its factorization.

5944066965504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 5 counting only the distinct ones).

The product of its (nonzero) digits is 139968000, while the sum is 63.

The spelling of 5944066965504 in words is "five trillion, nine hundred forty-four billion, sixty-six million, nine hundred sixty-five thousand, five hundred four".