99300096000 has 1152 divisors, whose sum is σ = 420946606080. Its totient is φ = 22044672000.

The previous prime is 99300095969. The next prime is 99300096041. The reversal of 99300096000 is 69000399.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 758015935 + ... + 758016065.

It is an arithmetic number, because the mean of its divisors is an integer number (365405040).

Almost surely, 2^99300096000 is an apocalyptic number.

99300096000 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 99300096000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210473303040).

99300096000 is an abundant number, since it is smaller than the sum of its proper divisors (321646510080).

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

99300096000 is a wasteful number, since it uses less digits than its factorization.

99300096000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 13122, while the sum is 36.

Adding to 99300096000 its reverse (69000399), we get a palindrome (99369096399).

The spelling of 99300096000 in words is "ninety-nine billion, three hundred million, ninety-six thousand".