820210050 has 432 divisors, whose sum is σ = 2785884192. Its totient is φ = 177292800.

The previous prime is 820210009. The next prime is 820210081. The reversal of 820210050 is 50012028.

820210050 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×820210050² = 1345489052242005000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 43168941 + ... + 43168959.

It is an arithmetic number, because the mean of its divisors is an integer number (6448806).

Almost surely, 2^820210050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 820210050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1392942096).

820210050 is an abundant number, since it is smaller than the sum of its proper divisors (1965674142).

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

820210050 is a wasteful number, since it uses less digits than its factorization.

820210050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 820210050 is about 28639.3095237996. The cubic root of 820210050 is about 936.0700761144.

Adding to 820210050 its reverse (50012028), we get a palindrome (870222078).

The spelling of 820210050 in words is "eight hundred twenty million, two hundred ten thousand, fifty".