1005335360000 has 100 divisors (see below), whose sum is σ = 2510081284062. Its totient is φ = 402134016000.

The previous prime is 1005335359877. The next prime is 1005335360009. The reversal of 1005335360000 is 635335001.

It can be written as a sum of positive squares in 5 ways, for example, as 82290954496 + 923044405504 = 286864^2 + 960752^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is not an unprimeable number, because it can be changed into a prime (1005335360009) by changing a digit.

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 9 ways as a sum of consecutive naturals, for example, 1250837 + ... + 1890836.

Almost surely, 2^{1005335360000} is an apocalyptic number.

1005335360000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1005335360000 is an abundant number, since it is smaller than the sum of its proper divisors (1504745924062).

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

1005335360000 is an frugal number, since it uses more digits than its factorization.

1005335360000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3141711 (or 3141680 counting only the distinct ones).

The product of its (nonzero) digits is 4050, while the sum is 26.

The spelling of 1005335360000 in words is "one trillion, five billion, three hundred thirty-five million, three hundred sixty thousand".