5729811328800 has 576 divisors, whose sum is σ = 22432724213760. Its totient is φ = 1403093975040.

The previous prime is 5729811328733. The next prime is 5729811328817. The reversal of 5729811328800 is 88231189275.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 54141537 + ... + 54247263.

It is an arithmetic number, because the mean of its divisors is an integer number (38945701760).

Almost surely, 2^{5729811328800} is an apocalyptic number.

5729811328800 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 5729811328800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11216362106880).

5729811328800 is an abundant number, since it is smaller than the sum of its proper divisors (16702912884960).

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

5729811328800 is a wasteful number, since it uses less digits than its factorization.

5729811328800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105962 (or 105943 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 54.

The spelling of 5729811328800 in words is "five trillion, seven hundred twenty-nine billion, eight hundred eleven million, three hundred twenty-eight thousand, eight hundred".