5285333664 has 288 divisors, whose sum is σ = 17171481600. Its totient is φ = 1528657920.

The previous prime is 5285333639. The next prime is 5285333671. The reversal of 5285333664 is 4663335825.

5285333664 is a `hidden beast` number, since 5 + 28 + 533 + 36 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13586782 + ... + 13587170.

It is an arithmetic number, because the mean of its divisors is an integer number (59623200).

Almost surely, 2^5285333664 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 5285333664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8585740800).

5285333664 is an abundant number, since it is smaller than the sum of its proper divisors (11886147936).

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

5285333664 is a wasteful number, since it uses less digits than its factorization.

5285333664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 628 (or 617 counting only the distinct ones).

The product of its digits is 1555200, while the sum is 45.

The square root of 5285333664 is about 72700.3003019933. The cubic root of 5285333664 is about 1741.9036794650.

The spelling of 5285333664 in words is "five billion, two hundred eighty-five million, three hundred thirty-three thousand, six hundred sixty-four".