5729548800 has 240 divisors, whose sum is σ = 19925912160. Its totient is φ = 1447280640.

The previous prime is 5729548789. The next prime is 5729548843. The reversal of 5729548800 is 88459275.

It is a tau number, because it is divible by the number of its divisors (240).

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 5729548800.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 725674 + ... + 733526.

It is an arithmetic number, because the mean of its divisors is an integer number (83024634).

Almost surely, 2^5729548800 is an apocalyptic number.

5729548800 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 5729548800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9962956080).

5729548800 is an abundant number, since it is smaller than the sum of its proper divisors (14196363360).

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

5729548800 is a wasteful number, since it uses less digits than its factorization.

5729548800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7903 (or 7882 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 48.

The square root of 5729548800 is about 75693.7831000671. The cubic root of 5729548800 is about 1789.3974231326.

It can be divided in two parts, 57 and 29548800, that multiplied together give a square (1684281600 = 41040²).

The spelling of 5729548800 in words is "five billion, seven hundred twenty-nine million, five hundred forty-eight thousand, eight hundred".