5284174560 has 384 divisors, whose sum is σ = 20076263424. Its totient is φ = 1142169600.

The previous prime is 5284174547. The next prime is 5284174627. The reversal of 5284174560 is 654714825.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 63 ways as a sum of consecutive naturals, for example, 7804942 + ... + 7805618.

It is an arithmetic number, because the mean of its divisors is an integer number (52281936).

Almost surely, 2^5284174560 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 5284174560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10038131712).

5284174560 is an abundant number, since it is smaller than the sum of its proper divisors (14792088864).

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

5284174560 is a wasteful number, since it uses less digits than its factorization.

5284174560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 826 (or 818 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 42.

The square root of 5284174560 is about 72692.3280683732. The cubic root of 5284174560 is about 1741.7763336646.

The spelling of 5284174560 in words is "five billion, two hundred eighty-four million, one hundred seventy-four thousand, five hundred sixty".