99259200000 has 720 divisors, whose sum is σ = 367153578792. Its totient is φ = 25804800000.

The previous prime is 99259199983. The next prime is 99259200017. The reversal of 99259200000 is 295299.

It is an interprime number because it is at equal distance from previous prime (99259199983) and next prime (99259200017).

It can be written as a sum of positive squares in 12 ways, for example, as 95525501184 + 3733698816 = 309072^2 + 61104^2 .

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 878399944 + ... + 878400056.

Almost surely, 2^99259200000 is an apocalyptic number.

99259200000 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99259200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183576789396).

99259200000 is an abundant number, since it is smaller than the sum of its proper divisors (267894378792).

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

99259200000 is an equidigital number, since it uses as much as digits as its factorization.

99259200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

Adding to 99259200000 its reverse (295299), we get a palindrome (99259495299).

The spelling of 99259200000 in words is "ninety-nine billion, two hundred fifty-nine million, two hundred thousand".