9520303216896 has 810 divisors, whose sum is σ = 31248171184230. Its totient is φ = 2882243395584.

The previous prime is 9520303216891. The next prime is 9520303216927. The reversal of 9520303216896 is 6986123030259.

9520303216896 is a `hidden beast` number, since 9 + 520 + 3 + 0 + 3 + 21 + 6 + 8 + 96 = 666.

It can be written as a sum of positive squares in 9 ways, for example, as 63940202496 + 9456363014400 = 252864^2 + 3075120^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (9520303216891) by changing a digit.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 5039863120 + ... + 5039865008.

Almost surely, 2^{9520303216896} is an apocalyptic number.

9520303216896 is a gapful number since it is divisible by the number (96) 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 9520303216896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15624085592115).

9520303216896 is an abundant number, since it is smaller than the sum of its proper divisors (21727867967334).

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

9520303216896 is a wasteful number, since it uses less digits than its factorization.

9520303216896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2009 (or 1940 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The spelling of 9520303216896 in words is "nine trillion, five hundred twenty billion, three hundred three million, two hundred sixteen thousand, eight hundred ninety-six".