99505612562500 has 63 divisors (see below), whose sum is σ = 217671196605051. Its totient is φ = 39801247500000.

The previous prime is 99505612562497. The next prime is 99505612562539. The reversal of 99505612562500 is 526521650599.

The square root of 99505612562500 is 9975250.

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

It can be written as a sum of positive squares in 10 ways, for example, as 28559896469316 + 70945716093184 = 5344146^2 + 8422928^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 2493792550 + ... + 2493832450.

Almost surely, 2^{99505612562500} is an apocalyptic number.

99505612562500 is the 9975250-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99505612562500

99505612562500 is an abundant number, since it is smaller than the sum of its proper divisors (118165584042551).

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

99505612562500 is an frugal number, since it uses more digits than its factorization.

99505612562500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79836 (or 39908 counting only the distinct ones).

The product of its (nonzero) digits is 7290000, while the sum is 55.

The spelling of 99505612562500 in words is "ninety-nine trillion, five hundred five billion, six hundred twelve million, five hundred sixty-two thousand, five hundred".