99915377909824 has 189 divisors, whose sum is σ = 203994897764151. Its totient is φ = 48555442636800.

The previous prime is 99915377909803. The next prime is 99915377909843. The reversal of 99915377909824 is 42890977351999.

It is a happy number.

The square root of 99915377909824 is 9995768.

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

It can be written as a sum of positive squares in 4 ways, for example, as 6321362549824 + 93594015360000 = 2514232^2 + 9674400^2 .

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 26 ways as a sum of consecutive naturals, for example, 718815668347 + ... + 718815668485.

Almost surely, 2^{99915377909824} is an apocalyptic number.

99915377909824 is the 9995768-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99915377909824

99915377909824 is an abundant number, since it is smaller than the sum of its proper divisors (104079519854327).

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

99915377909824 is an frugal number, since it uses more digits than its factorization.

99915377909824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 670 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 2777664960, while the sum is 82.

It can be divided in two parts, 9991537 and 7909824, that added together give a square (17901361 = 4231²).

The spelling of 99915377909824 in words is "ninety-nine trillion, nine hundred fifteen billion, three hundred seventy-seven million, nine hundred nine thousand, eight hundred twenty-four".