5057343200 has 288 divisors, whose sum is σ = 15343017984. Its totient is φ = 1585059840.

The previous prime is 5057343191. The next prime is 5057343227. The reversal of 5057343200 is 23437505.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 9245327 + ... + 9245873.

It is an arithmetic number, because the mean of its divisors is an integer number (53274368).

Almost surely, 2^5057343200 is an apocalyptic number.

5057343200 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 5057343200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7671508992).

5057343200 is an abundant number, since it is smaller than the sum of its proper divisors (10285674784).

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

5057343200 is a wasteful number, since it uses less digits than its factorization.

5057343200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 714 (or 701 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 29.

The square root of 5057343200 is about 71114.9998242284. Note that the first 3 decimals coincide. The cubic root of 5057343200 is about 1716.4881472492.

The spelling of 5057343200 in words is "five billion, fifty-seven million, three hundred forty-three thousand, two hundred".