9886116240000 has 5760 divisors, whose sum is σ = 50907077020800. Its totient is φ = 1788272640000.

The previous prime is 9886116239969. The next prime is 9886116240001. The reversal of 9886116240000 is 426116889.

9886116240000 is a `hidden beast` number, since 9 + 8 + 8 + 6 + 11 + 624 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5760).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9886116240001) by changing a digit.

It is a polite number, since it can be written in 719 ways as a sum of consecutive naturals, for example, 229909679979 + ... + 229909680021.

It is an arithmetic number, because the mean of its divisors is an integer number (8838034205).

Almost surely, 2^{9886116240000} is an apocalyptic number.

9886116240000 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 9886116240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25453538510400).

9886116240000 is an abundant number, since it is smaller than the sum of its proper divisors (41020960780800).

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

9886116240000 is a wasteful number, since it uses less digits than its factorization.

9886116240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 9886116240000 in words is "nine trillion, eight hundred eighty-six billion, one hundred sixteen million, two hundred forty thousand".