5206393344000 has 832 divisors, whose sum is σ = 19143633000960. Its totient is φ = 1249745305600.

The previous prime is 5206393343999. The next prime is 5206393344007. The reversal of 5206393344000 is 4433936025.

It is a self number, because there is not a number n which added to its sum of digits gives 5206393344000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5206393344007) 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 63 ways as a sum of consecutive naturals, for example, 600571666 + ... + 600580334.

It is an arithmetic number, because the mean of its divisors is an integer number (23009174280).

Almost surely, 2^{5206393344000} is an apocalyptic number.

5206393344000 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 5206393344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9571816500480).

5206393344000 is an abundant number, since it is smaller than the sum of its proper divisors (13937239656960).

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

5206393344000 is a wasteful number, since it uses less digits than its factorization.

5206393344000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8751 (or 8719 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 39.

The spelling of 5206393344000 in words is "five trillion, two hundred six billion, three hundred ninety-three million, three hundred forty-four thousand".