5205985008 has 120 divisors (see below), whose sum is σ = 15665939280. Its totient is φ = 1485388800.

The previous prime is 5205985003. The next prime is 5205985039. The reversal of 5205985008 is 8005895025.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5205985003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2889708 + ... + 2891508.

It is an arithmetic number, because the mean of its divisors is an integer number (130549494).

Almost surely, 2^5205985008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5205985008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7832969640).

5205985008 is an abundant number, since it is smaller than the sum of its proper divisors (10459954272).

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

5205985008 is a wasteful number, since it uses less digits than its factorization.

5205985008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3055 (or 3042 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 42.

The square root of 5205985008 is about 72152.5121392180. The cubic root of 5205985008 is about 1733.1426286575.

The spelling of 5205985008 in words is "five billion, two hundred five million, nine hundred eighty-five thousand, eight".