96666661000000 has 1960 divisors, whose sum is σ = 319038569379040. Its totient is φ = 28805414400000.

The previous prime is 96666660999991. The next prime is 96666661000051. The reversal of 96666661000000 is 16666669.

96666661000000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1960).

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 96666661000000 = 18900³ + 44800³ = 27790³ + 42210³.

It is a nialpdrome in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 279 ways as a sum of consecutive naturals, for example, 593046999919 + ... + 593047000081.

Almost surely, 2^{96666661000000} 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 96666661000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159519284689520).

96666661000000 is an abundant number, since it is smaller than the sum of its proper divisors (222371908379040).

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

96666661000000 is an frugal number, since it uses more digits than its factorization.

96666661000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 46.

Adding to 96666661000000 its reverse (16666669), we get a palindrome (96666677666669).

The spelling of 96666661000000 in words is "ninety-six trillion, six hundred sixty-six billion, six hundred sixty-one million", and thus it is an aban number.