9959918424320 has 144 divisors (see below), whose sum is σ = 24132468241728. Its totient is φ = 3938147819520.

The previous prime is 9959918424311. The next prime is 9959918424329. The reversal of 9959918424320 is 234248199599.

It is an interprime number because it is at equal distance from previous prime (9959918424311) and next prime (9959918424329).

It is not an unprimeable number, because it can be changed into a prime (9959918424329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63059687 + ... + 63217433.

It is an arithmetic number, because the mean of its divisors is an integer number (167586585012).

Almost surely, 2^{9959918424320} 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 9959918424320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12066234120864).

9959918424320 is an abundant number, since it is smaller than the sum of its proper divisors (14172549817408).

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

9959918424320 is a wasteful number, since it uses less digits than its factorization.

9959918424320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158336 (or 158322 counting only the distinct ones).

The product of its (nonzero) digits is 50388480, while the sum is 65.

The spelling of 9959918424320 in words is "nine trillion, nine hundred fifty-nine billion, nine hundred eighteen million, four hundred twenty-four thousand, three hundred twenty".