96665960553120 has 1152 divisors, whose sum is σ = 391758317862912. Its totient is φ = 21247205990400.

The previous prime is 96665960553077. The next prime is 96665960553179. The reversal of 96665960553120 is 2135506956669.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 52336740037 + ... + 52336741883.

It is an arithmetic number, because the mean of its divisors is an integer number (340067984256).

Almost surely, 2^{96665960553120} is an apocalyptic number.

96665960553120 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 96665960553120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195879158931456).

96665960553120 is an abundant number, since it is smaller than the sum of its proper divisors (295092357309792).

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

96665960553120 is a wasteful number, since it uses less digits than its factorization.

96665960553120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3794 (or 3783 counting only the distinct ones).

The product of its (nonzero) digits is 78732000, while the sum is 63.

The spelling of 96665960553120 in words is "ninety-six trillion, six hundred sixty-five billion, nine hundred sixty million, five hundred fifty-three thousand, one hundred twenty".