9988187697600 has 672 divisors, whose sum is σ = 39731239466496. Its totient is φ = 2144531251200.

The previous prime is 9988187697599. The next prime is 9988187697611. The reversal of 9988187697600 is 67967818899.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 297578419 + ... + 297611981.

Almost surely, 2^{9988187697600} 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 9988187697600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19865619733248).

9988187697600 is an abundant number, since it is smaller than the sum of its proper divisors (29743051768896).

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

9988187697600 is a wasteful number, since it uses less digits than its factorization.

9988187697600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34133 (or 34118 counting only the distinct ones).

The product of its (nonzero) digits is 658409472, while the sum is 78.

The spelling of 9988187697600 in words is "nine trillion, nine hundred eighty-eight billion, one hundred eighty-seven million, six hundred ninety-seven thousand, six hundred".