9948965280 has 96 divisors (see below), whose sum is σ = 31370976000. Its totient is φ = 2650371072.

The previous prime is 9948965203. The next prime is 9948965281. The reversal of 9948965280 is 825698499.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is not an unprimeable number, because it can be changed into a prime (9948965281) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 488746 + ... + 508694.

It is an arithmetic number, because the mean of its divisors is an integer number (326781000).

Almost surely, 2^9948965280 is an apocalyptic number.

It is a pronic number, being equal to 99744×99745.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9948965280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15685488000).

9948965280 is an abundant number, since it is smaller than the sum of its proper divisors (21422010720).

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

9948965280 is a wasteful number, since it uses less digits than its factorization.

9948965280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21006 (or 20998 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 60.

The square root of 9948965280 is about 99744.4999987468. The cubic root of 9948965280 is about 2150.7634051254.

The spelling of 9948965280 in words is "nine billion, nine hundred forty-eight million, nine hundred sixty-five thousand, two hundred eighty".