5209352948800 has 1344 divisors, whose sum is σ = 18313116885504. Its totient is φ = 1403663155200.

The previous prime is 5209352948773. The next prime is 5209352948881. The reversal of 5209352948800 is 88492539025.

It is a Harshad number since it is a multiple of its sum of digits (55).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7977569274 + ... + 7977569926.

It is an arithmetic number, because the mean of its divisors is an integer number (13625831016).

Almost surely, 2^{5209352948800} is an apocalyptic number.

5209352948800 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 5209352948800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9156558442752).

5209352948800 is an abundant number, since it is smaller than the sum of its proper divisors (13103763936704).

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

5209352948800 is a wasteful number, since it uses less digits than its factorization.

5209352948800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1016 (or 1001 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 55.

The spelling of 5209352948800 in words is "five trillion, two hundred nine billion, three hundred fifty-two million, nine hundred forty-eight thousand, eight hundred".