1006511160116 has 72 divisors (see below), whose sum is σ = 2237105973312. Its totient is φ = 391819680000.

The previous prime is 1006511160079. The next prime is 1006511160119. The reversal of 1006511160116 is 6110611156001.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1006511160119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2395001 + ... + 2783711.

It is an arithmetic number, because the mean of its divisors is an integer number (31070916296).

Almost surely, 2^{1006511160116} 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 1006511160116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1118552986656).

1006511160116 is an abundant number, since it is smaller than the sum of its proper divisors (1230594813196).

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

1006511160116 is a wasteful number, since it uses less digits than its factorization.

1006511160116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389941 (or 389932 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 29.

The spelling of 1006511160116 in words is "one trillion, six billion, five hundred eleven million, one hundred sixty thousand, one hundred sixteen".