9948083521680 has 320 divisors, whose sum is σ = 34644235127040. Its totient is φ = 2623612723200.

The previous prime is 9948083521679. The next prime is 9948083521687. The reversal of 9948083521680 is 861253808499.

9948083521680 is a `hidden beast` number, since 9 + 9 + 48 + 0 + 8 + 3 + 521 + 68 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (9948083521687) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 112476675 + ... + 112565085.

It is an arithmetic number, because the mean of its divisors is an integer number (108263234772).

Almost surely, 2^{9948083521680} is an apocalyptic number.

9948083521680 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 9948083521680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17322117563520).

9948083521680 is an abundant number, since it is smaller than the sum of its proper divisors (24696151605360).

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

9948083521680 is a wasteful number, since it uses less digits than its factorization.

9948083521680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89007 (or 88995 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 63.

The spelling of 9948083521680 in words is "nine trillion, nine hundred forty-eight billion, eighty-three million, five hundred twenty-one thousand, six hundred eighty".