9995085666000 has 640 divisors, whose sum is σ = 38066522158080. Its totient is φ = 2501351424000.

The previous prime is 9995085665987. The next prime is 9995085666019. The reversal of 9995085666000 is 6665805999.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 65750080 + ... + 65901920.

It is an arithmetic number, because the mean of its divisors is an integer number (59478940872).

Almost surely, 2^{9995085666000} is an apocalyptic number.

9995085666000 is a gapful number since it is divisible by the number (90) 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 9995085666000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19033261079040).

9995085666000 is an abundant number, since it is smaller than the sum of its proper divisors (28071436492080).

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

9995085666000 is a wasteful number, since it uses less digits than its factorization.

9995085666000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151949 (or 151927 counting only the distinct ones).

The product of its (nonzero) digits is 31492800, while the sum is 63.

The spelling of 9995085666000 in words is "nine trillion, nine hundred ninety-five billion, eighty-five million, six hundred sixty-six thousand".