1005337850920 has 96 divisors (see below), whose sum is σ = 2451428332920. Its totient is φ = 370893619200.

The previous prime is 1005337850887. The next prime is 1005337850929. The reversal of 1005337850920 is 290587335001.

It can be written as a sum of positive squares in 12 ways, for example, as 33232560804 + 972105290116 = 182298^2 + 985954^2 .

It is not an unprimeable number, because it can be changed into a prime (1005337850929) 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 23 ways as a sum of consecutive naturals, for example, 8165820 + ... + 8288020.

Almost surely, 2^{1005337850920} is an apocalyptic number.

1005337850920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1005337850920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1225714166460).

1005337850920 is an abundant number, since it is smaller than the sum of its proper divisors (1446090482000).

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

1005337850920 is a wasteful number, since it uses less digits than its factorization.

1005337850920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123455 (or 123438 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 43.

The spelling of 1005337850920 in words is "one trillion, five billion, three hundred thirty-seven million, eight hundred fifty thousand, nine hundred twenty".