5205105360 has 900 divisors, whose sum is σ = 23006488428. Its totient is φ = 1086898176.

The previous prime is 5205105343. The next prime is 5205105383. The reversal of 5205105360 is 635015025.

5205105360 is a `hidden beast` number, since 520 + 5 + 105 + 36 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 1140277824 + 4064827536 = 33768^2 + 63756^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 53660832 + ... + 53660928.

Almost surely, 2^5205105360 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 5205105360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11503244214).

5205105360 is an abundant number, since it is smaller than the sum of its proper divisors (17801383068).

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

5205105360 is a wasteful number, since it uses less digits than its factorization.

5205105360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The square root of 5205105360 is about 72146.4161272062. The cubic root of 5205105360 is about 1733.0450075976.

The spelling of 5205105360 in words is "five billion, two hundred five million, one hundred five thousand, three hundred sixty".