1006005000000 has 1792 divisors, whose sum is σ = 4533888393216. Its totient is φ = 190080000000.

The previous prime is 1006004999981. The next prime is 1006005000029. The reversal of 1006005000000 is 5006001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a self number, because there is not a number n which added to its sum of digits gives 1006005000000.

It is a congruent number.

It is an unprimeable number.

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 255 ways as a sum of consecutive naturals, for example, 15014999967 + ... + 15015000033.

It is an arithmetic number, because the mean of its divisors is an integer number (2530071648).

Almost surely, 2^{1006005000000} is an apocalyptic number.

1006005000000 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 1006005000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2266944196608).

1006005000000 is an abundant number, since it is smaller than the sum of its proper divisors (3527883393216).

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

1006005000000 is an frugal number, since it uses more digits than its factorization.

1006005000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 12.

The spelling of 1006005000000 in words is "one trillion, six billion, five million", and thus it is an aban number and an uban number.