5314804560 has 240 divisors, whose sum is σ = 19312295184. Its totient is φ = 1302110208.

The previous prime is 5314804529. The next prime is 5314804633. The reversal of 5314804560 is 654084135.

It is a happy number.

5314804560 is a `hidden beast` number, since 5 + 3 + 14 + 80 + 4 + 560 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 125619264 + 5189185296 = 11208^2 + 72036^2 .

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2179662 + ... + 2182098.

Almost surely, 2^5314804560 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 5314804560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9656147592).

5314804560 is an abundant number, since it is smaller than the sum of its proper divisors (13997490624).

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

5314804560 is a wasteful number, since it uses less digits than its factorization.

5314804560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2702 (or 2693 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 5314804560 is about 72902.7061226125. The cubic root of 5314804560 is about 1745.1352850618.

Adding to 5314804560 its reverse (654084135), we get a palindrome (5968888695).

The spelling of 5314804560 in words is "five billion, three hundred fourteen million, eight hundred four thousand, five hundred sixty".