9986545829120 has 576 divisors, whose sum is σ = 29127996817920. Its totient is φ = 3207879327744.

The previous prime is 9986545829101. The next prime is 9986545829179. The reversal of 9986545829120 is 219285456899.

It is a super-2 number, since 2×9986545829120² (a number of 27 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (68) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1754176994 + ... + 1754182686.

It is an arithmetic number, because the mean of its divisors is an integer number (50569438920).

Almost surely, 2^{9986545829120} 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 9986545829120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14563998408960).

9986545829120 is an abundant number, since it is smaller than the sum of its proper divisors (19141450988800).

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

9986545829120 is a wasteful number, since it uses less digits than its factorization.

9986545829120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5950 (or 5936 counting only the distinct ones).

The product of its (nonzero) digits is 111974400, while the sum is 68.

The spelling of 9986545829120 in words is "nine trillion, nine hundred eighty-six billion, five hundred forty-five million, eight hundred twenty-nine thousand, one hundred twenty".