9890512045128 has 576 divisors, whose sum is σ = 33781892114880. Its totient is φ = 2603764500480.

The previous prime is 9890512045097. The next prime is 9890512045129. The reversal of 9890512045128 is 8215402150989.

9890512045128 is a `hidden beast` number, since 9 + 89 + 0 + 512 + 0 + 45 + 1 + 2 + 8 = 666.

It is a super-3 number, since 3×9890512045128³ (a number of 40 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (9890512045129) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 275307375 + ... + 275343297.

It is an arithmetic number, because the mean of its divisors is an integer number (58649118255).

Almost surely, 2^{9890512045128} 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 9890512045128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16890946057440).

9890512045128 is an abundant number, since it is smaller than the sum of its proper divisors (23891380069752).

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

9890512045128 is a wasteful number, since it uses less digits than its factorization.

9890512045128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36011 (or 35969 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 54.

The spelling of 9890512045128 in words is "nine trillion, eight hundred ninety billion, five hundred twelve million, forty-five thousand, one hundred twenty-eight".