99712606784400 has 405 divisors, whose sum is σ = 353649311806323. Its totient is φ = 26016933772800.

The previous prime is 99712606784393. The next prime is 99712606784449. The reversal of 99712606784400 is 448760621799.

The square root of 99712606784400 is 9985620.

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

99712606784400 is a `hidden beast` number, since 9 + 9 + 7 + 12 + 606 + 7 + 8 + 4 + 4 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4905463069584 + 94807143714816 = 2214828^2 + 9736896^2 .

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 80 ways as a sum of consecutive naturals, for example, 28159446630 + ... + 28159450170.

Almost surely, 2^{99712606784400} is an apocalyptic number.

99712606784400 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

99712606784400 is the 9985620-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99712606784400

99712606784400 is an abundant number, since it is smaller than the sum of its proper divisors (253936705021923).

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

99712606784400 is an equidigital number, since it uses as much as digits as its factorization.

99712606784400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7200 (or 3598 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 63.

The spelling of 99712606784400 in words is "ninety-nine trillion, seven hundred twelve billion, six hundred six million, seven hundred eighty-four thousand, four hundred".