5285689344000 has 2880 divisors, whose sum is σ = 22923101160960. Its totient is φ = 1203948748800.

The previous prime is 5285689343989. The next prime is 5285689344049. The reversal of 5285689344000 is 4439865825.

5285689344000 is a `hidden beast` number, since 5 + 2 + 8 + 568 + 9 + 34 + 40 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 122923007979 + ... + 122923008021.

Almost surely, 2^{5285689344000} is an apocalyptic number.

5285689344000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5285689344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11461550580480).

5285689344000 is an abundant number, since it is smaller than the sum of its proper divisors (17637411816960).

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

5285689344000 is an equidigital number, since it uses as much as digits as its factorization.

5285689344000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 5285689344000 in words is "five trillion, two hundred eighty-five billion, six hundred eighty-nine million, three hundred forty-four thousand".