8225803152000 has 2048 divisors, whose sum is σ = 37062484992000. Its totient is φ = 1751279616000.

The previous prime is 8225803151989. The next prime is 8225803152001. The reversal of 8225803152000 is 2513085228.

8225803152000 is a `hidden beast` number, since 8 + 2 + 25 + 80 + 31 + 520 + 0 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (8225803152001) 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 255 ways as a sum of consecutive naturals, for example, 3504814827 + ... + 3504817173.

It is an arithmetic number, because the mean of its divisors is an integer number (18096916500).

Almost surely, 2^{8225803152000} is an apocalyptic number.

8225803152000 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 8225803152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18531242496000).

8225803152000 is an abundant number, since it is smaller than the sum of its proper divisors (28836681840000).

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

8225803152000 is a wasteful number, since it uses less digits than its factorization.

8225803152000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2472 (or 2444 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 8225803152000 in words is "eight trillion, two hundred twenty-five billion, eight hundred three million, one hundred fifty-two thousand".