9792009889920 has 512 divisors, whose sum is σ = 36940102617600. Its totient is φ = 2442874060800.

The previous prime is 9792009889919. The next prime is 9792009890023. The reversal of 9792009889920 is 299889002979.

It is a Harshad number since it is a multiple of its sum of digits (72).

9792009889920 is a modest number, since divided by 9889920 gives 97920 as remainder.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 48958120 + ... + 49157720.

It is an arithmetic number, because the mean of its divisors is an integer number (72148637925).

Almost surely, 2^{9792009889920} is an apocalyptic number.

9792009889920 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 9792009889920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18470051308800).

9792009889920 is an abundant number, since it is smaller than the sum of its proper divisors (27148092727680).

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

9792009889920 is a wasteful number, since it uses less digits than its factorization.

9792009889920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199813 (or 199795 counting only the distinct ones).

The product of its (nonzero) digits is 105815808, while the sum is 72.

The spelling of 9792009889920 in words is "nine trillion, seven hundred ninety-two billion, nine million, eight hundred eighty-nine thousand, nine hundred twenty".