5704933388800 has 240 divisors, whose sum is σ = 14488061470344. Its totient is φ = 2224947200000.

The previous prime is 5704933388729. The next prime is 5704933388873. The reversal of 5704933388800 is 88833394075.

It can be written as a sum of positive squares in 12 ways, for example, as 9035643136 + 5695897745664 = 95056^2 + 2386608^2 .

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 23 ways as a sum of consecutive naturals, for example, 1469962860 + ... + 1469966740.

Almost surely, 2^{5704933388800} is an apocalyptic number.

5704933388800 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 5704933388800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7244030735172).

5704933388800 is an abundant number, since it is smaller than the sum of its proper divisors (8783128081544).

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

5704933388800 is a wasteful number, since it uses less digits than its factorization.

5704933388800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6751 (or 6730 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 58.

The spelling of 5704933388800 in words is "five trillion, seven hundred four billion, nine hundred thirty-three million, three hundred eighty-eight thousand, eight hundred".