8896320000000 has 624 divisors, whose sum is σ = 32131994890320. Its totient is φ = 2371584000000.

The previous prime is 8896319999977. The next prime is 8896320000019. The reversal of 8896320000000 is 236988.

It can be written as a sum of positive squares in 8 ways, for example, as 8358667370496 + 537652629504 = 2891136^2 + 733248^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 8896320000000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2879998456 + ... + 2880001544.

It is an arithmetic number, because the mean of its divisors is an integer number (51493581555).

Almost surely, 2^{8896320000000} is an apocalyptic number.

8896320000000 is a gapful number since it is divisible by the number (80) 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 8896320000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16065997445160).

8896320000000 is an abundant number, since it is smaller than the sum of its proper divisors (23235674890320).

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

8896320000000 is an frugal number, since it uses more digits than its factorization.

8896320000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3154 (or 3099 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

Adding to 8896320000000 its reverse (236988), we get a palindrome (8896320236988).

The spelling of 8896320000000 in words is "eight trillion, eight hundred ninety-six billion, three hundred twenty million", and thus it is an aban number.