9986411160 has 512 divisors, whose sum is σ = 37704268800. Its totient is φ = 2330173440.

The previous prime is 9986411143. The next prime is 9986411161. The reversal of 9986411160 is 611146899.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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 (9986411161) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 57724834 + ... + 57725006.

It is an arithmetic number, because the mean of its divisors is an integer number (73641150).

Almost surely, 2^9986411160 is an apocalyptic number.

9986411160 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 9986411160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18852134400).

9986411160 is an abundant number, since it is smaller than the sum of its proper divisors (27717857640).

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

9986411160 is a wasteful number, since it uses less digits than its factorization.

9986411160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The square root of 9986411160 is about 99932.0327022322. The cubic root of 9986411160 is about 2153.4583720542.

The spelling of 9986411160 in words is "nine billion, nine hundred eighty-six million, four hundred eleven thousand, one hundred sixty".