5089075200 has 504 divisors, whose sum is σ = 19965503376. Its totient is φ = 1228800000.

The previous prime is 5089075157. The next prime is 5089075213. The reversal of 5089075200 is 25709805.

5089075200 is a `hidden beast` number, since 50 + 89 + 0 + 7 + 520 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 20275075 + ... + 20275325.

It is an arithmetic number, because the mean of its divisors is an integer number (39614094).

Almost surely, 2^5089075200 is an apocalyptic number.

5089075200 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 5089075200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9982751688).

5089075200 is an abundant number, since it is smaller than the sum of its proper divisors (14876428176).

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

5089075200 is a wasteful number, since it uses less digits than its factorization.

5089075200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The square root of 5089075200 is about 71337.7543801317. The cubic root of 5089075200 is about 1720.0706659267.

The spelling of 5089075200 in words is "five billion, eighty-nine million, seventy-five thousand, two hundred".