5286578304 has 128 divisors (see below), whose sum is σ = 16566497280. Its totient is φ = 1461703680.

The previous prime is 5286578291. The next prime is 5286578317. The reversal of 5286578304 is 4038756825.

It is an interprime number because it is at equal distance from previous prime (5286578291) and next prime (5286578317).

It is a tau number, because it is divible by the number of its divisors (128).

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 15 ways as a sum of consecutive naturals, for example, 51607 + ... + 115049.

It is an arithmetic number, because the mean of its divisors is an integer number (129425760).

Almost surely, 2^5286578304 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 5286578304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8283248640).

5286578304 is an abundant number, since it is smaller than the sum of its proper divisors (11279918976).

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

5286578304 is a wasteful number, since it uses less digits than its factorization.

5286578304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63498 (or 63486 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 48.

The square root of 5286578304 is about 72708.8598727830. The cubic root of 5286578304 is about 1742.0404020116.

The spelling of 5286578304 in words is "five billion, two hundred eighty-six million, five hundred seventy-eight thousand, three hundred four".