5179282560 has 448 divisors, whose sum is σ = 19686197880. Its totient is φ = 1297907712.

The previous prime is 5179282553. The next prime is 5179282583. The reversal of 5179282560 is 652829715.

5179282560 is a `hidden beast` number, since 5 + 1 + 7 + 9 + 2 + 82 + 560 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4171093056 + 1008189504 = 64584^2 + 31752^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

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 55 ways as a sum of consecutive naturals, for example, 7931194 + ... + 7931846.

Almost surely, 2^5179282560 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 5179282560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9843098940).

5179282560 is an abundant number, since it is smaller than the sum of its proper divisors (14506915320).

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

5179282560 is an equidigital number, since it uses as much as digits as its factorization.

5179282560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 707 (or 680 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The square root of 5179282560 is about 71967.2325437070. The cubic root of 5179282560 is about 1730.1743462012.

The spelling of 5179282560 in words is "five billion, one hundred seventy-nine million, two hundred eighty-two thousand, five hundred sixty".