9999962188128 has 288 divisors, whose sum is σ = 31316300870400. Its totient is φ = 3001738798080.

The previous prime is 9999962187991. The next prime is 9999962188159. The reversal of 9999962188128 is 8218812699999.

9999962188128 is a nontrivial binomial coefficient, being equal to C(4472128, 2).

It is a tau number, because it is divible by the number of its divisors (288).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 143073126 + ... + 143143002.

It is an arithmetic number, because the mean of its divisors is an integer number (108737155800).

Almost surely, 2^{9999962188128} is an apocalyptic number.

9999962188128 is the 4472127-th triangular number and also the 2236064-th hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9999962188128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15658150435200).

9999962188128 is an abundant number, since it is smaller than the sum of its proper divisors (21316338682272).

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

9999962188128 is a wasteful number, since it uses less digits than its factorization.

9999962188128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70330 (or 70319 counting only the distinct ones).

The product of its digits is 725594112, while the sum is 81.

The spelling of 9999962188128 in words is "nine trillion, nine hundred ninety-nine billion, nine hundred sixty-two million, one hundred eighty-eight thousand, one hundred twenty-eight".