828285212160 has 1440 divisors, whose sum is σ = 3583663443360. Its totient is φ = 182598893568.

The previous prime is 828285212123. The next prime is 828285212171. The reversal of 828285212160 is 61212582828.

828285212160 is a `hidden beast` number, since 8 + 28 + 28 + 521 + 21 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 883975212 + ... + 883976148.

It is an arithmetic number, because the mean of its divisors is an integer number (2488655169).

Almost surely, 2^828285212160 is an apocalyptic number.

828285212160 is a gapful number since it is divisible by the number (80) 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 828285212160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1791831721680).

828285212160 is an abundant number, since it is smaller than the sum of its proper divisors (2755378231200).

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

828285212160 is an equidigital number, since it uses as much as digits as its factorization.

828285212160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1018 (or 983 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 45.

Adding to 828285212160 its reverse (61212582828), we get a palindrome (889497794988).

The spelling of 828285212160 in words is "eight hundred twenty-eight billion, two hundred eighty-five million, two hundred twelve thousand, one hundred sixty".