5105216160 has 672 divisors, whose sum is σ = 20703973248. Its totient is φ = 1176975360.

The previous prime is 5105216159. The next prime is 5105216189. The reversal of 5105216160 is 616125015.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 29509834 + ... + 29510006.

It is an arithmetic number, because the mean of its divisors is an integer number (30809484).

Almost surely, 2^5105216160 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 5105216160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10351986624).

5105216160 is an abundant number, since it is smaller than the sum of its proper divisors (15598757088).

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

5105216160 is a wasteful number, since it uses less digits than its factorization.

5105216160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 217 counting only the distinct ones).

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

The square root of 5105216160 is about 71450.7953769585. The cubic root of 5105216160 is about 1721.8872560307.

The spelling of 5105216160 in words is "five billion, one hundred five million, two hundred sixteen thousand, one hundred sixty".