5306373200 has 240 divisors, whose sum is σ = 14444521920. Its totient is φ = 1861263360.

The previous prime is 5306373169. The next prime is 5306373229. The reversal of 5306373200 is 23736035.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8656094 + ... + 8656706.

It is an arithmetic number, because the mean of its divisors is an integer number (60185508).

Almost surely, 2^5306373200 is an apocalyptic number.

5306373200 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 5306373200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7222260960).

5306373200 is an abundant number, since it is smaller than the sum of its proper divisors (9138148720).

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

5306373200 is a wasteful number, since it uses less digits than its factorization.

5306373200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 734 (or 723 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 29.

The square root of 5306373200 is about 72844.8570593697. The cubic root of 5306373200 is about 1744.2119741364.

The spelling of 5306373200 in words is "five billion, three hundred six million, three hundred seventy-three thousand, two hundred".