5279105160 has 432 divisors, whose sum is σ = 21089378700. Its totient is φ = 1141765632.

The previous prime is 5279105147. The next prime is 5279105201. The reversal of 5279105160 is 615019725.

5279105160 is a `hidden beast` number, since 52 + 7 + 91 + 0 + 516 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5273373924 + 5731236 = 72618^2 + 2394^2 .

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 107 ways as a sum of consecutive naturals, for example, 6367626 + ... + 6368454.

Almost surely, 2^5279105160 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 5279105160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10544689350).

5279105160 is an abundant number, since it is smaller than the sum of its proper divisors (15810273540).

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

5279105160 is a wasteful number, since it uses less digits than its factorization.

5279105160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 898 (or 865 counting only the distinct ones).

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

The square root of 5279105160 is about 72657.4508223348. The cubic root of 5279105160 is about 1741.2191614279.

The spelling of 5279105160 in words is "five billion, two hundred seventy-nine million, one hundred five thousand, one hundred sixty".