9865806915328 has 648 divisors, whose sum is σ = 25840411381008. Its totient is φ = 3743277318144.

The previous prime is 9865806915271. The next prime is 9865806915343. The reversal of 9865806915328 is 8235196085689.

It is a happy number.

It is a super-2 number, since 2×9865806915328² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5725946275 + ... + 5725947997.

Almost surely, 2^{9865806915328} is an apocalyptic number.

9865806915328 is a gapful number since it is divisible by the number (98) 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 9865806915328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12920205690504).

9865806915328 is an abundant number, since it is smaller than the sum of its proper divisors (15974604465680).

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

9865806915328 is a wasteful number, since it uses less digits than its factorization.

9865806915328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1889 (or 1855 counting only the distinct ones).

The product of its (nonzero) digits is 223948800, while the sum is 70.

The spelling of 9865806915328 in words is "nine trillion, eight hundred sixty-five billion, eight hundred six million, nine hundred fifteen thousand, three hundred twenty-eight".