99994600072900 has 405 divisors, whose sum is σ = 241475967535257. Its totient is φ = 35941429555200.

The previous prime is 99994600072877. The next prime is 99994600072903. The reversal of 99994600072900 is 927000649999.

The square root of 99994600072900 is 9999730.

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

It can be written as a sum of positive squares in 67 ways, for example, as 50741602342596 + 49252997730304 = 7123314^2 + 7018048^2 .

It is not an unprimeable number, because it can be changed into a prime (99994600072903) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 1030872165652 + ... + 1030872165748.

Almost surely, 2^{99994600072900} is an apocalyptic number.

99994600072900 is the 9999730-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99994600072900

99994600072900 is an abundant number, since it is smaller than the sum of its proper divisors (141481367462357).

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

99994600072900 is an frugal number, since it uses more digits than its factorization.

99994600072900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 19840464, while the sum is 64.

The spelling of 99994600072900 in words is "ninety-nine trillion, nine hundred ninety-four billion, six hundred million, seventy-two thousand, nine hundred".