5258960200 has 192 divisors, whose sum is σ = 14271586560. Its totient is φ = 1784401920.

The previous prime is 5258960191. The next prime is 5258960207. The reversal of 5258960200 is 20698525.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 5258960200.

It is not an unprimeable number, because it can be changed into a prime (5258960207) by changing a digit.

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, 1899217 + ... + 1901983.

It is an arithmetic number, because the mean of its divisors is an integer number (74331180).

Almost surely, 2^5258960200 is an apocalyptic number.

5258960200 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 5258960200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7135793280).

5258960200 is an abundant number, since it is smaller than the sum of its proper divisors (9012626360).

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

5258960200 is a wasteful number, since it uses less digits than its factorization.

5258960200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2856 (or 2847 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 37.

The square root of 5258960200 is about 72518.6886257605. The cubic root of 5258960200 is about 1739.0015190076.

The spelling of 5258960200 in words is "five billion, two hundred fifty-eight million, nine hundred sixty thousand, two hundred".