10820803050 has 144 divisors (see below), whose sum is σ = 30838785120. Its totient is φ = 2712528000.

The previous prime is 10820803027. The next prime is 10820803051. The reversal of 10820803050 is 5030802801.

It is a happy number.

10820803050 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (10820803051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1115220 + ... + 1124880.

It is an arithmetic number, because the mean of its divisors is an integer number (214158230).

Almost surely, 2^10820803050 is an apocalyptic number.

10820803050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10820803050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15419392560).

10820803050 is an abundant number, since it is smaller than the sum of its proper divisors (20017982070).

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

10820803050 is a wasteful number, since it uses less digits than its factorization.

10820803050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9829 (or 9821 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The spelling of 10820803050 in words is "ten billion, eight hundred twenty million, eight hundred three thousand, fifty".