99661566828096 has 945 divisors, whose sum is σ = 361412540886579. Its totient is φ = 26244117559296.

The previous prime is 99661566828017. The next prime is 99661566828121. The reversal of 99661566828096 is 69082866516699.

The square root of 99661566828096 is 9983064.

It is a perfect power (a square), and thus also a powerful number.

99661566828096 is a `hidden beast` number, since 9 + 96 + 61 + 56 + 68 + 280 + 96 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 38686708178496 + 60974858649600 = 6219864^2 + 7808640^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 152621082106 + ... + 152621082758.

Almost surely, 2^{99661566828096} is an apocalyptic number.

99661566828096 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

99661566828096 is the 9983064-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99661566828096

99661566828096 is an abundant number, since it is smaller than the sum of its proper divisors (261750974058483).

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

99661566828096 is an frugal number, since it uses more digits than its factorization.

99661566828096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1378 (or 678 counting only the distinct ones).

The product of its (nonzero) digits is 3627970560, while the sum is 81.

The spelling of 99661566828096 in words is "ninety-nine trillion, six hundred sixty-one billion, five hundred sixty-six million, eight hundred twenty-eight thousand, ninety-six".