5724359212800 has 864 divisors, whose sum is σ = 20129191649280. Its totient is φ = 1430411673600.

The previous prime is 5724359212799. The next prime is 5724359212813. The reversal of 5724359212800 is 82129534275.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 5724359212800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2492101252 + ... + 2492103548.

It is an arithmetic number, because the mean of its divisors is an integer number (23297675520).

Almost surely, 2^{5724359212800} is an apocalyptic number.

5724359212800 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 5724359212800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10064595824640).

5724359212800 is an abundant number, since it is smaller than the sum of its proper divisors (14404832436480).

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

5724359212800 is a wasteful number, since it uses less digits than its factorization.

5724359212800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2489 (or 2470 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 48.

The spelling of 5724359212800 in words is "five trillion, seven hundred twenty-four billion, three hundred fifty-nine million, two hundred twelve thousand, eight hundred".