1005423322050 has 288 divisors, whose sum is σ = 3328875688320. Its totient is φ = 212405068800.

The previous prime is 1005423321953. The next prime is 1005423322061. The reversal of 1005423322050 is 502233245001.

It is a happy number.

1005423322050 is a `hidden beast` number, since 1 + 0 + 0 + 5 + 423 + 32 + 205 + 0 = 666.

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, 2248984 + ... + 2658716.

It is an arithmetic number, because the mean of its divisors is an integer number (11558596140).

Almost surely, 2^{1005423322050} is an apocalyptic number.

1005423322050 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 1005423322050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1664437844160).

1005423322050 is an abundant number, since it is smaller than the sum of its proper divisors (2323452366270).

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

1005423322050 is a wasteful number, since it uses less digits than its factorization.

1005423322050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409818 (or 409810 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

Adding to 1005423322050 its reverse (502233245001), we get a palindrome (1507656567051).

The spelling of 1005423322050 in words is "one trillion, five billion, four hundred twenty-three million, three hundred twenty-two thousand, fifty".