9988013456640 has 288 divisors, whose sum is σ = 35681470272000. Its totient is φ = 2645593251840.

The previous prime is 9988013456639. The next prime is 9988013456671. The reversal of 9988013456640 is 466543108899.

9988013456640 is a `hidden beast` number, since 9 + 98 + 80 + 13 + 456 + 6 + 4 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4179625 + ... + 6119255.

It is an arithmetic number, because the mean of its divisors is an integer number (123893994000).

Almost surely, 2^{9988013456640} is an apocalyptic number.

9988013456640 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 9988013456640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17840735136000).

9988013456640 is an abundant number, since it is smaller than the sum of its proper divisors (25693456815360).

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

9988013456640 is a wasteful number, since it uses less digits than its factorization.

9988013456640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1939810 (or 1939790 counting only the distinct ones).

The product of its (nonzero) digits is 44789760, while the sum is 63.

The spelling of 9988013456640 in words is "nine trillion, nine hundred eighty-eight billion, thirteen million, four hundred fifty-six thousand, six hundred forty".