9808948177920 has 352 divisors, whose sum is σ = 34926140643840. Its totient is φ = 2610698895360.

The previous prime is 9808948177909. The next prime is 9808948177927. The reversal of 9808948177920 is 297718498089.

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

It is not an unprimeable number, because it can be changed into a prime (9808948177927) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 72231685 + ... + 72367355.

Almost surely, 2^{9808948177920} is an apocalyptic number.

9808948177920 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 9808948177920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17463070321920).

9808948177920 is an abundant number, since it is smaller than the sum of its proper divisors (25117192465920).

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

9808948177920 is a wasteful number, since it uses less digits than its factorization.

9808948177920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136228 (or 136204 counting only the distinct ones).

The product of its (nonzero) digits is 146313216, while the sum is 72.

The spelling of 9808948177920 in words is "nine trillion, eight hundred eight billion, nine hundred forty-eight million, one hundred seventy-seven thousand, nine hundred twenty".