1008000000000 has 840 divisors, whose sum is σ = 4159745667792. Its totient is φ = 230400000000.

The previous prime is 1007999999987. The next prime is 1008000000013. The reversal of 1008000000000 is 8001.

It is an interprime number because it is at equal distance from previous prime (1007999999987) and next prime (1008000000013).

It is a tau number, because it is divible by the number of its divisors (840).

It is a Harshad number since it is a multiple of its sum of digits (9).

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

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 59 ways as a sum of consecutive naturals, for example, 143999999997 + ... + 144000000003.

Almost surely, 2^{1008000000000} is an apocalyptic number.

1008000000000 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 1008000000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2079872833896).

1008000000000 is an abundant number, since it is smaller than the sum of its proper divisors (3151745667792).

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

1008000000000 is an frugal number, since it uses more digits than its factorization.

1008000000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 1008000000000 its reverse (8001), we get a palindrome (1008000008001).

The spelling of 1008000000000 in words is "one trillion, eight billion", and thus it is an aban number and an uban number.