99998007842304 has 1440 divisors, whose sum is σ = 353931764060160. Its totient is φ = 26910793728000.

The previous prime is 99998007842287. The next prime is 99998007842323. The reversal of 99998007842304 is 40324870089999.

99998007842304 is a `hidden beast` number, since 99 + 99 + 80 + 0 + 78 + 4 + 2 + 304 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 95145582579 + ... + 95145583629.

It is an arithmetic number, because the mean of its divisors is an integer number (245785947264).

Almost surely, 2^{99998007842304} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99998007842304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176965882030080).

99998007842304 is an abundant number, since it is smaller than the sum of its proper divisors (253933756217856).

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

99998007842304 is a wasteful number, since it uses less digits than its factorization.

99998007842304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1524 (or 1492 counting only the distinct ones).

The product of its (nonzero) digits is 282175488, while the sum is 72.

The spelling of 99998007842304 in words is "ninety-nine trillion, nine hundred ninety-eight billion, seven million, eight hundred forty-two thousand, three hundred four".