5159072160 has 432 divisors, whose sum is σ = 20038210920. Its totient is φ = 1206374400.

The previous prime is 5159072143. The next prime is 5159072179. The reversal of 5159072160 is 612709515.

5159072160 is a `hidden beast` number, since 5 + 1 + 590 + 7 + 2 + 1 + 60 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4338593424 + 820478736 = 65868^2 + 28644^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5052450 + ... + 5053470.

Almost surely, 2^5159072160 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 5159072160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10019105460).

5159072160 is an abundant number, since it is smaller than the sum of its proper divisors (14879138760).

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

5159072160 is a wasteful number, since it uses less digits than its factorization.

5159072160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1093 (or 1071 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 36.

The square root of 5159072160 is about 71826.6813934766. The cubic root of 5159072160 is about 1727.9209390268.

The spelling of 5159072160 in words is "five billion, one hundred fifty-nine million, seventy-two thousand, one hundred sixty".