5200373200 has 120 divisors (see below), whose sum is σ = 13657116960. Its totient is φ = 1887244800.

The previous prime is 5200373183. The next prime is 5200373201. The reversal of 5200373200 is 23730025.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5200373201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3118767 + ... + 3120433.

It is an arithmetic number, because the mean of its divisors is an integer number (113809308).

Almost surely, 2^5200373200 is an apocalyptic number.

5200373200 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 5200373200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6828558480).

5200373200 is an abundant number, since it is smaller than the sum of its proper divisors (8456743760).

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

5200373200 is a wasteful number, since it uses less digits than its factorization.

5200373200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2405 (or 2394 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 22.

The square root of 5200373200 is about 72113.6131392680. The cubic root of 5200373200 is about 1732.5196558998.

The spelling of 5200373200 in words is "five billion, two hundred million, three hundred seventy-three thousand, two hundred".