5289985200 has 240 divisors, whose sum is σ = 18030051360. Its totient is φ = 1321205760.

The previous prime is 5289985171. The next prime is 5289985231. The reversal of 5289985200 is 25899825.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 5289985200.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5242296 + ... + 5243304.

It is an arithmetic number, because the mean of its divisors is an integer number (75125214).

Almost surely, 2^5289985200 is an apocalyptic number.

5289985200 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 5289985200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9015025680).

5289985200 is an abundant number, since it is smaller than the sum of its proper divisors (12740066160).

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

5289985200 is a wasteful number, since it uses less digits than its factorization.

5289985200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1304 (or 1293 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 48.

The square root of 5289985200 is about 72732.2844409551. The cubic root of 5289985200 is about 1742.4145366396.

The spelling of 5289985200 in words is "five billion, two hundred eighty-nine million, nine hundred eighty-five thousand, two hundred".