8248010432000 has 160 divisors (see below), whose sum is σ = 20570861282400. Its totient is φ = 3298573516800.

The previous prime is 8248010431987. The next prime is 8248010432003. The reversal of 8248010432000 is 2340108428.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8248010432003) 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 15 ways as a sum of consecutive naturals, for example, 482359451 + ... + 482376549.

It is an arithmetic number, because the mean of its divisors is an integer number (128567883015).

Almost surely, 2^{8248010432000} is an apocalyptic number.

8248010432000 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 8248010432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10285430641200).

8248010432000 is an abundant number, since it is smaller than the sum of its proper divisors (12322850850400).

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

8248010432000 is an equidigital number, since it uses as much as digits as its factorization.

8248010432000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24669 (or 24643 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

The spelling of 8248010432000 in words is "eight trillion, two hundred forty-eight billion, ten million, four hundred thirty-two thousand".