1005982170000 has 200 divisors, whose sum is σ = 3418364648160. Its totient is φ = 254142720000.

The previous prime is 1005982169993. The next prime is 1005982170007. The reversal of 1005982170000 is 712895001.

It is an interprime number because it is at equal distance from previous prime (1005982169993) and next prime (1005982170007).

It is a tau number, because it is divible by the number of its divisors (200).

It is not an unprimeable number, because it can be changed into a prime (1005982170007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 312441 + ... + 1452440.

Almost surely, 2^{1005982170000} is an apocalyptic number.

1005982170000 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 1005982170000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1709182324080).

1005982170000 is an abundant number, since it is smaller than the sum of its proper divisors (2412382478160).

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

1005982170000 is a wasteful number, since it uses less digits than its factorization.

1005982170000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1764931 (or 1764910 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 33.

The spelling of 1005982170000 in words is "one trillion, five billion, nine hundred eighty-two million, one hundred seventy thousand".