9996801712128 has 1680 divisors, whose sum is σ = 38416300104000. Its totient is φ = 2596571873280.

The previous prime is 9996801712069. The next prime is 9996801712147. The reversal of 9996801712128 is 8212171086999.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

9996801712128 is a `hidden beast` number, since 99 + 96 + 80 + 171 + 212 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 908800155643 + ... + 908800155653.

It is an arithmetic number, because the mean of its divisors is an integer number (22866845300).

Almost surely, 2^{9996801712128} is an apocalyptic number.

9996801712128 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 9996801712128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19208150052000).

9996801712128 is an abundant number, since it is smaller than the sum of its proper divisors (28419498391872).

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

9996801712128 is an frugal number, since it uses more digits than its factorization.

9996801712128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 63.

The spelling of 9996801712128 in words is "nine trillion, nine hundred ninety-six billion, eight hundred one million, seven hundred twelve thousand, one hundred twenty-eight".