5204345320400 has 240 divisors, whose sum is σ = 13393108887360. Its totient is φ = 1937546956800.

The previous prime is 5204345320393. The next prime is 5204345320411. The reversal of 5204345320400 is 40235434025.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 420479012 + ... + 420491388.

It is an arithmetic number, because the mean of its divisors is an integer number (55804620364).

Almost surely, 2^{5204345320400} is an apocalyptic number.

5204345320400 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 5204345320400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6696554443680).

5204345320400 is an abundant number, since it is smaller than the sum of its proper divisors (8188763566960).

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

5204345320400 is a wasteful number, since it uses less digits than its factorization.

5204345320400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13382 (or 13371 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 32.

The spelling of 5204345320400 in words is "five trillion, two hundred four billion, three hundred forty-five million, three hundred twenty thousand, four hundred".