5197920800 has 54 divisors (see below), whose sum is σ = 12694404303. Its totient is φ = 2078352640.

The previous prime is 5197920757. The next prime is 5197920817. The reversal of 5197920800 is 80297915.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 4333325584 + 864595216 = 65828^2 + 29404^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=50980.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2037926 + ... + 2040474.

Almost surely, 2^5197920800 is an apocalyptic number.

5197920800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5197920800 is an abundant number, since it is smaller than the sum of its proper divisors (7496483503).

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

5197920800 is an frugal number, since it uses more digits than its factorization.

5197920800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5118 (or 2556 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 41.

The square root of 5197920800 is about 72096.6074097804. The cubic root of 5197920800 is about 1732.2472716493.

The spelling of 5197920800 in words is "five billion, one hundred ninety-seven million, nine hundred twenty thousand, eight hundred".