9816105600000 has 3168 divisors, whose sum is σ = 44304479331840. Its totient is φ = 2043740160000.

The previous prime is 9816105599999. The next prime is 9816105600001. The reversal of 9816105600000 is 65016189.

9816105600000 is a `hidden beast` number, since 9 + 81 + 6 + 10 + 560 + 0 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (9816105599999) and next prime (9816105600001).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (9816105600001) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 134467199964 + ... + 134467200036.

Almost surely, 2^{9816105600000} is an apocalyptic number.

9816105600000 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 9816105600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22152239665920).

9816105600000 is an abundant number, since it is smaller than the sum of its proper divisors (34488373731840).

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

9816105600000 is a wasteful number, since it uses less digits than its factorization.

9816105600000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The spelling of 9816105600000 in words is "nine trillion, eight hundred sixteen billion, one hundred five million, six hundred thousand".