5214096800 has 144 divisors (see below), whose sum is σ = 13953606912. Its totient is φ = 1886822400.

The previous prime is 5214096787. The next prime is 5214096829. The reversal of 5214096800 is 86904125.

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, 1961072 + ... + 1963728.

It is an arithmetic number, because the mean of its divisors is an integer number (96900048).

Almost surely, 2^5214096800 is an apocalyptic number.

5214096800 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 5214096800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6976803456).

5214096800 is an abundant number, since it is smaller than the sum of its proper divisors (8739510112).

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

5214096800 is a wasteful number, since it uses less digits than its factorization.

5214096800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2911 (or 2898 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 35.

The square root of 5214096800 is about 72208.7030765683. The cubic root of 5214096800 is about 1734.0423365111.

The spelling of 5214096800 in words is "five billion, two hundred fourteen million, ninety-six thousand, eight hundred".