99932300709120 has 2592 divisors, whose sum is σ = 409069971192960. Its totient is φ = 23368161484800.

The previous prime is 99932300709077. The next prime is 99932300709139. The reversal of 99932300709120 is 2190700323999.

It is a tau number, because it is divible by the number of its divisors (2592).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 325512380007 + ... + 325512380313.

Almost surely, 2^{99932300709120} is an apocalyptic number.

99932300709120 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 99932300709120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204534985596480).

99932300709120 is an abundant number, since it is smaller than the sum of its proper divisors (309137670483840).

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

99932300709120 is an equidigital number, since it uses as much as digits as its factorization.

99932300709120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 1653372, while the sum is 54.

The spelling of 99932300709120 in words is "ninety-nine trillion, nine hundred thirty-two billion, three hundred million, seven hundred nine thousand, one hundred twenty".