9986096461824 has 1296 divisors, whose sum is σ = 36109421875800. Its totient is φ = 2749517955072.

The previous prime is 9986096461777. The next prime is 9986096461841. The reversal of 9986096461824 is 4281646906899.

9986096461824 is a `hidden beast` number, since 9 + 9 + 8 + 609 + 6 + 4 + 6 + 1 + 8 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a super-2 number, since 2×9986096461824² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

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 107 ways as a sum of consecutive naturals, for example, 19093874427 + ... + 19093874949.

Almost surely, 2^{9986096461824} 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 9986096461824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18054710937900).

9986096461824 is an abundant number, since it is smaller than the sum of its proper divisors (26123325413976).

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

9986096461824 is an frugal number, since it uses more digits than its factorization.

9986096461824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 612 (or 564 counting only the distinct ones).

The product of its (nonzero) digits is 322486272, while the sum is 72.

The spelling of 9986096461824 in words is "nine trillion, nine hundred eighty-six billion, ninety-six million, four hundred sixty-one thousand, eight hundred twenty-four".