9948818880 has 2016 divisors, whose sum is σ = 51224322240. Its totient is φ = 1734082560.

The previous prime is 9948818849. The next prime is 9948818903. The reversal of 9948818880 is 888188499.

It is a tau number, because it is divible by the number of its divisors (2016).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 343062706 + ... + 343062734.

It is an arithmetic number, because the mean of its divisors is an integer number (25408890).

Almost surely, 2^9948818880 is an apocalyptic number.

9948818880 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 9948818880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25612161120).

9948818880 is an abundant number, since it is smaller than the sum of its proper divisors (41275503360).

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

9948818880 is a wasteful number, since it uses less digits than its factorization.

9948818880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 10616832, while the sum is 63.

The square root of 9948818880 is about 99743.7661209963. The cubic root of 9948818880 is about 2150.7528555088.

It can be divided in two parts, 9948 and 818880, that added together give a palindrome (828828).

The spelling of 9948818880 in words is "nine billion, nine hundred forty-eight million, eight hundred eighteen thousand, eight hundred eighty".