10822050450 has 288 divisors, whose sum is σ = 31120008192. Its totient is φ = 2692224000.

The previous prime is 10822050427. The next prime is 10822050467. The reversal of 10822050450 is 5405022801.

It is a happy number.

10822050450 is a `hidden beast` number, since 1 + 0 + 8 + 2 + 205 + 0 + 450 = 666.

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 143 ways as a sum of consecutive naturals, for example, 56659855 + ... + 56660045.

It is an arithmetic number, because the mean of its divisors is an integer number (108055584).

Almost surely, 2^10822050450 is an apocalyptic number.

10822050450 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 10822050450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15560004096).

10822050450 is an abundant number, since it is smaller than the sum of its proper divisors (20297957742).

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

10822050450 is a wasteful number, since it uses less digits than its factorization.

10822050450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The spelling of 10822050450 in words is "ten billion, eight hundred twenty-two million, fifty thousand, four hundred fifty".