803520959328 has 288 divisors, whose sum is σ = 2473644386304. Its totient is φ = 246447845376.

The previous prime is 803520959327. The next prime is 803520959387. The reversal of 803520959328 is 823959025308.

803520959328 is a `hidden beast` number, since 8 + 0 + 3 + 5 + 20 + 9 + 593 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (803520959327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 328368601 + ... + 328371047.

It is an arithmetic number, because the mean of its divisors is an integer number (8589043008).

Almost surely, 2^803520959328 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 803520959328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1236822193152).

803520959328 is an abundant number, since it is smaller than the sum of its proper divisors (1670123426976).

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

803520959328 is a wasteful number, since it uses less digits than its factorization.

803520959328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3954 (or 3943 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 803520959328 in words is "eight hundred three billion, five hundred twenty million, nine hundred fifty-nine thousand, three hundred twenty-eight".