5193988800 has 1344 divisors, whose sum is σ = 24382439424. Its totient is φ = 932659200.

The previous prime is 5193988771. The next prime is 5193988829. The reversal of 5193988800 is 88893915.

It is an interprime number because it is at equal distance from previous prime (5193988771) and next prime (5193988829).

It is a tau number, because it is divible by the number of its divisors (1344).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 110510377 + ... + 110510423.

It is an arithmetic number, because the mean of its divisors is an integer number (18141696).

Almost surely, 2^5193988800 is an apocalyptic number.

5193988800 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 5193988800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12191219712).

5193988800 is an abundant number, since it is smaller than the sum of its proper divisors (19188450624).

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

5193988800 is a wasteful number, since it uses less digits than its factorization.

5193988800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 51.

The square root of 5193988800 is about 72069.3332839981. Note that the first 3 decimals coincide. The cubic root of 5193988800 is about 1731.8103716712.

The spelling of 5193988800 in words is "five billion, one hundred ninety-three million, nine hundred eighty-eight thousand, eight hundred".