827848050210 has 192 divisors, whose sum is σ = 2363971690080. Its totient is φ = 200067194880.

The previous prime is 827848050173. The next prime is 827848050229. The reversal of 827848050210 is 12050848728.

It is a happy number.

827848050210 is a `hidden beast` number, since 82 + 78 + 480 + 5 + 0 + 21 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 264929472369 + 562918577841 = 514713^2 + 750279^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16525000 + ... + 16575020.

Almost surely, 2^827848050210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 827848050210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1181985845040).

827848050210 is an abundant number, since it is smaller than the sum of its proper divisors (1536123639870).

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

827848050210 is a wasteful number, since it uses less digits than its factorization.

827848050210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50453 (or 50450 counting only the distinct ones).

The product of its (nonzero) digits is 286720, while the sum is 45.

Adding to 827848050210 its reverse (12050848728), we get a palindrome (839898898938).

The spelling of 827848050210 in words is "eight hundred twenty-seven billion, eight hundred forty-eight million, fifty thousand, two hundred ten".