5216105160 has 320 divisors, whose sum is σ = 20251566720. Its totient is φ = 1179463680.

The previous prime is 5216105159. The next prime is 5216105171. The reversal of 5216105160 is 615016125.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2198775 + ... + 2201145.

It is an arithmetic number, because the mean of its divisors is an integer number (63286146).

Almost surely, 2^5216105160 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 5216105160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10125783360).

5216105160 is an abundant number, since it is smaller than the sum of its proper divisors (15035461560).

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

5216105160 is a wasteful number, since it uses less digits than its factorization.

5216105160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2498 (or 2485 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 5216105160 is about 72222.6083716173. The cubic root of 5216105160 is about 1734.2649467641.

The spelling of 5216105160 in words is "five billion, two hundred sixteen million, one hundred five thousand, one hundred sixty".