9796131792000 has 2048 divisors, whose sum is σ = 38714277888000. Its totient is φ = 2430425088000.

The previous prime is 9796131791951. The next prime is 9796131792019. The reversal of 9796131792000 is 2971316979.

It is a happy number.

9796131792000 is a `hidden beast` number, since 9 + 7 + 9 + 613 + 17 + 9 + 2 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 74779631935 + ... + 74779632065.

It is an arithmetic number, because the mean of its divisors is an integer number (18903456000).

Almost surely, 2^{9796131792000} is an apocalyptic number.

9796131792000 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 9796131792000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19357138944000).

9796131792000 is an abundant number, since it is smaller than the sum of its proper divisors (28918146096000).

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

9796131792000 is a wasteful number, since it uses less digits than its factorization.

9796131792000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 1285956, while the sum is 54.

The spelling of 9796131792000 in words is "nine trillion, seven hundred ninety-six billion, one hundred thirty-one million, seven hundred ninety-two thousand".