9901672193920 has 128 divisors (see below), whose sum is σ = 25497746820000. Its totient is φ = 3655184375808.

The previous prime is 9901672193909. The next prime is 9901672193947. The reversal of 9901672193920 is 293912761099.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×9901672193920² (a number of 27 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (58) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 37716871 + ... + 37978489.

Almost surely, 2^{9901672193920} 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 9901672193920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12748873410000).

9901672193920 is an abundant number, since it is smaller than the sum of its proper divisors (15596074626080).

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

9901672193920 is a wasteful number, since it uses less digits than its factorization.

9901672193920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266200 (or 266188 counting only the distinct ones).

The product of its (nonzero) digits is 3306744, while the sum is 58.

The spelling of 9901672193920 in words is "nine trillion, nine hundred one billion, six hundred seventy-two million, one hundred ninety-three thousand, nine hundred twenty".