5159405160 has 768 divisors, whose sum is σ = 22601779200. Its totient is φ = 1027924992.

The previous prime is 5159405143. The next prime is 5159405161. The reversal of 5159405160 is 615049515.

5159405160 is a `hidden beast` number, since 5 + 1 + 594 + 0 + 5 + 1 + 60 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (5159405161) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 16805727 + ... + 16806033.

It is an arithmetic number, because the mean of its divisors is an integer number (29429400).

Almost surely, 2^5159405160 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 5159405160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11300889600).

5159405160 is an abundant number, since it is smaller than the sum of its proper divisors (17442374040).

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

5159405160 is a wasteful number, since it uses less digits than its factorization.

5159405160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 36.

The square root of 5159405160 is about 71828.9994361609. Note that the first 3 decimals coincide. The cubic root of 5159405160 is about 1727.9581153042.

The spelling of 5159405160 in words is "five billion, one hundred fifty-nine million, four hundred five thousand, one hundred sixty".