5874409930752 has 864 divisors, whose sum is σ = 20061111732480. Its totient is φ = 1702727516160.

The previous prime is 5874409930721. The next prime is 5874409930759. The reversal of 5874409930752 is 2570399044785.

5874409930752 is a `hidden beast` number, since 5 + 8 + 7 + 440 + 99 + 30 + 75 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a self number, because there is not a number n which added to its sum of digits gives 5874409930752.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5874409930759) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 255409127413 + ... + 255409127435.

It is an arithmetic number, because the mean of its divisors is an integer number (23218879320).

Almost surely, 2^{5874409930752} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5874409930752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10030555866240).

5874409930752 is an abundant number, since it is smaller than the sum of its proper divisors (14186701801728).

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

5874409930752 is an frugal number, since it uses more digits than its factorization.

5874409930752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 76204800, while the sum is 63.

The spelling of 5874409930752 in words is "five trillion, eight hundred seventy-four billion, four hundred nine million, nine hundred thirty thousand, seven hundred fifty-two".