99710569728324 has 243 divisors, whose sum is σ = 266987934604573. Its totient is φ = 32581706740128.

The previous prime is 99710569728293. The next prime is 99710569728379. The reversal of 99710569728324 is 42382796501799.

The square root of 99710569728324 is 9985518.

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

99710569728324 is a `hidden beast` number, since 9 + 9 + 7 + 1 + 0 + 569 + 7 + 28 + 32 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 71881062192900 + 27829507535424 = 8478270^2 + 5275368^2 .

It is a tau number, because it is divible by the number of its divisors (243).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 85735656967 + ... + 85735658129.

It is a 1-persistent number, because it is pandigital, but 2⋅99710569728324 = 199421139456648 is not.

Almost surely, 2^{99710569728324} is an apocalyptic number.

99710569728324 is the 9985518-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99710569728324

99710569728324 is an abundant number, since it is smaller than the sum of its proper divisors (167277364876249).

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

99710569728324 is an frugal number, since it uses more digits than its factorization.

99710569728324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2460 (or 1221 counting only the distinct ones).

The product of its (nonzero) digits is 411505920, while the sum is 72.

The spelling of 99710569728324 in words is "ninety-nine trillion, seven hundred ten billion, five hundred sixty-nine million, seven hundred twenty-eight thousand, three hundred twenty-four".