5716400800 has 288 divisors, whose sum is σ = 16198963200. Its totient is φ = 1948032000.

The previous prime is 5716400771. The next prime is 5716400831. The reversal of 5716400800 is 80046175.

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, 29928705 + ... + 29928895.

It is an arithmetic number, because the mean of its divisors is an integer number (56246400).

Almost surely, 2^5716400800 is an apocalyptic number.

5716400800 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 5716400800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8099481600).

5716400800 is an abundant number, since it is smaller than the sum of its proper divisors (10482562400).

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

5716400800 is a wasteful number, since it uses less digits than its factorization.

5716400800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 31.

The square root of 5716400800 is about 75606.8832845264. The cubic root of 5716400800 is about 1788.0276226199.

Adding to 5716400800 its reverse (80046175), we get a palindrome (5796446975).

The spelling of 5716400800 in words is "five billion, seven hundred sixteen million, four hundred thousand, eight hundred".