99830721600 has 189 divisors, whose sum is σ = 354956766463. Its totient is φ = 26611415040.

The previous prime is 99830721559. The next prime is 99830721623. The reversal of 99830721600 is 612703899.

The square root of 99830721600 is 315960.

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

99830721600 is a `hidden beast` number, since 9 + 9 + 8 + 30 + 7 + 2 + 1 + 600 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 23866542144 + 75964179456 = 154488^2 + 275616^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 37913884 + ... + 37916516.

Almost surely, 2^99830721600 is an apocalyptic number.

99830721600 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

99830721600 is the 315960-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99830721600

99830721600 is an abundant number, since it is smaller than the sum of its proper divisors (255126044863).

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

99830721600 is an equidigital number, since it uses as much as digits as its factorization.

99830721600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5294 (or 2643 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 99830721600 in words is "ninety-nine billion, eight hundred thirty million, seven hundred twenty-one thousand, six hundred".