1005310855328 has 96 divisors (see below), whose sum is σ = 2137532193216. Its totient is φ = 462668064768.

The previous prime is 1005310855321. The next prime is 1005310855343. The reversal of 1005310855328 is 8235580135001.

It is not an unprimeable number, because it can be changed into a prime (1005310855321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 326080475 + ... + 326083557.

It is an arithmetic number, because the mean of its divisors is an integer number (22265960346).

Almost surely, 2^{1005310855328} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1005310855328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1068766096608).

1005310855328 is an abundant number, since it is smaller than the sum of its proper divisors (1132221337888).

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

1005310855328 is a wasteful number, since it uses less digits than its factorization.

1005310855328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5086 (or 5078 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 41.

The spelling of 1005310855328 in words is "one trillion, five billion, three hundred ten million, eight hundred fifty-five thousand, three hundred twenty-eight".