8328765121600 has 567 divisors, whose sum is σ = 26232207248079. Its totient is φ = 2593208217600.

The previous prime is 8328765121553. The next prime is 8328765121603. The reversal of 8328765121600 is 61215678238.

It is a happy number.

The square root of 8328765121600 is 2885960.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 3421937623104 + 4906827498496 = 1849848^2 + 2215136^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (8328765121603) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 8888756332 + ... + 8888757268.

Almost surely, 2^{8328765121600} is an apocalyptic number.

8328765121600 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

8328765121600 is the 2885960-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8328765121600

8328765121600 is an abundant number, since it is smaller than the sum of its proper divisors (17903442126479).

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

8328765121600 is an equidigital number, since it uses as much as digits as its factorization.

8328765121600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1932 (or 962 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 49.

Multiplying 8328765121600 by its sum of digits (49), we get a square (408109490958400 = 20201720²).

8328765121600 divided by its sum of digits (49) gives a square (169974798400 = 412280²).

The spelling of 8328765121600 in words is "eight trillion, three hundred twenty-eight billion, seven hundred sixty-five million, one hundred twenty-one thousand, six hundred".