9019896960 has 128 divisors (see below), whose sum is σ = 28791417600. Its totient is φ = 2401918976.

The previous prime is 9019896911. The next prime is 9019896971. The reversal of 9019896960 is 696989109.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 9019896960.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1550377 + ... + 1556183.

It is an arithmetic number, because the mean of its divisors is an integer number (224932950).

Almost surely, 2^9019896960 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9019896960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14395708800).

9019896960 is an abundant number, since it is smaller than the sum of its proper divisors (19771520640).

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

9019896960 is a wasteful number, since it uses less digits than its factorization.

9019896960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6638 (or 6626 counting only the distinct ones).

The product of its (nonzero) digits is 1889568, while the sum is 57.

The square root of 9019896960 is about 94973.1380970430. The cubic root of 9019896960 is about 2081.6155594475.

The spelling of 9019896960 in words is "nine billion, nineteen million, eight hundred ninety-six thousand, nine hundred sixty".