5055055200 has 432 divisors, whose sum is σ = 19577965680. Its totient is φ = 1219645440.

The previous prime is 5055055199. The next prime is 5055055217. The reversal of 5055055200 is 25505505.

5055055200 = 285³ + 286³ + ... + 404³.

It is a happy number.

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 71 ways as a sum of consecutive naturals, for example, 4960291 + ... + 4961309.

It is an arithmetic number, because the mean of its divisors is an integer number (45319365).

Almost surely, 2^5055055200 is an apocalyptic number.

5055055200 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 5055055200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9788982840).

5055055200 is an abundant number, since it is smaller than the sum of its proper divisors (14522910480).

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

5055055200 is a wasteful number, since it uses less digits than its factorization.

5055055200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1111 (or 1095 counting only the distinct ones).

The product of its (nonzero) digits is 6250, while the sum is 27.

The square root of 5055055200 is about 71098.9113840711. The cubic root of 5055055200 is about 1716.2292552361.

The spelling of 5055055200 in words is "five billion, fifty-five million, fifty-five thousand, two hundred".