5285386752 has 240 divisors, whose sum is σ = 15229114560. Its totient is φ = 1625620480.

The previous prime is 5285386741. The next prime is 5285386759. The reversal of 5285386752 is 2576835825.

It is a junction number, because it is equal to n+sod(n) for n = 5285386695 and 5285386704.

It is not an unprimeable number, because it can be changed into a prime (5285386759) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59386324 + ... + 59386412.

It is an arithmetic number, because the mean of its divisors is an integer number (63454644).

Almost surely, 2^5285386752 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 5285386752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7614557280).

5285386752 is an abundant number, since it is smaller than the sum of its proper divisors (9943727808).

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

5285386752 is an equidigital number, since it uses as much as digits as its factorization.

5285386752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 158 counting only the distinct ones).

The product of its digits is 4032000, while the sum is 51.

The square root of 5285386752 is about 72700.6654164871. The cubic root of 5285386752 is about 1741.9095115706.

The spelling of 5285386752 in words is "five billion, two hundred eighty-five million, three hundred eighty-six thousand, seven hundred fifty-two".