5419200800 has 144 divisors (see below), whose sum is σ = 14388454080. Its totient is φ = 1981117440.

The previous prime is 5419200791. The next prime is 5419200817. The reversal of 5419200800 is 80029145.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1068671 + ... + 1073729.

It is an arithmetic number, because the mean of its divisors is an integer number (99919820).

Almost surely, 2^5419200800 is an apocalyptic number.

5419200800 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 5419200800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7194227040).

5419200800 is an abundant number, since it is smaller than the sum of its proper divisors (8969253280).

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

5419200800 is a wasteful number, since it uses less digits than its factorization.

5419200800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5195 (or 5182 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 29.

The square root of 5419200800 is about 73615.2212521296. The cubic root of 5419200800 is about 1756.4875713623.

Adding to 5419200800 its reverse (80029145), we get a palindrome (5499229945).

The spelling of 5419200800 in words is "five billion, four hundred nineteen million, two hundred thousand, eight hundred".