1005398083872 has 216 divisors, whose sum is σ = 3538229071104. Its totient is φ = 265159844352.

The previous prime is 1005398083757. The next prime is 1005398083873. The reversal of 1005398083872 is 2783808935001.

1005398083872 is a `hidden beast` number, since 1 + 0 + 0 + 539 + 8 + 0 + 8 + 38 + 72 = 666.

It is not an unprimeable number, because it can be changed into a prime (1005398083873) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1134768 + ... + 1816175.

It is an arithmetic number, because the mean of its divisors is an integer number (16380690144).

Almost surely, 2^{1005398083872} is an apocalyptic number.

1005398083872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1005398083872 is an abundant number, since it is smaller than the sum of its proper divisors (2532830987232).

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

1005398083872 is a wasteful number, since it uses less digits than its factorization.

1005398083872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2950992 (or 2950968 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 1005398083872 in words is "one trillion, five billion, three hundred ninety-eight million, eighty-three thousand, eight hundred seventy-two".