8232309540000 has 1440 divisors, whose sum is σ = 36415825205760. Its totient is φ = 1717106688000.

The previous prime is 8232309539999. The next prime is 8232309540017. The reversal of 8232309540000 is 459032328.

8232309540000 is a `hidden beast` number, since 82 + 3 + 2 + 30 + 9 + 540 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1457817177 + ... + 1457822823.

It is an arithmetic number, because the mean of its divisors is an integer number (25288767504).

Almost surely, 2^{8232309540000} is an apocalyptic number.

8232309540000 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 8232309540000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18207912602880).

8232309540000 is an abundant number, since it is smaller than the sum of its proper divisors (28183515665760).

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

8232309540000 is a wasteful number, since it uses less digits than its factorization.

8232309540000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5792 (or 5766 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 8232309540000 in words is "eight trillion, two hundred thirty-two billion, three hundred nine million, five hundred forty thousand".