5206016160 has 144 divisors (see below), whose sum is σ = 18100994184. Its totient is φ = 1362057216.

The previous prime is 5206016129. The next prime is 5206016183. The reversal of 5206016160 is 616106025.

It is a happy number.

5206016160 is a `hidden beast` number, since 52 + 0 + 601 + 6 + 1 + 6 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4319644176 + 886371984 = 65724^2 + 29772^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×5206016160² = 54205208516362291200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42214 + ... + 110426.

Almost surely, 2^5206016160 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 5206016160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9050497092).

5206016160 is an abundant number, since it is smaller than the sum of its proper divisors (12894978024).

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

5206016160 is a wasteful number, since it uses less digits than its factorization.

5206016160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68287 (or 68276 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 5206016160 is about 72152.7280149545. The cubic root of 5206016160 is about 1733.1460856242.

The spelling of 5206016160 in words is "five billion, two hundred six million, sixteen thousand, one hundred sixty".