8282959692800 has 528 divisors, whose sum is σ = 22750095984000. Its totient is φ = 2970731151360.

The previous prime is 8282959692613. The next prime is 8282959692803. The reversal of 8282959692800 is 82969592828.

It is not an unprimeable number, because it can be changed into a prime (8282959692803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2761905701 + ... + 2761908699.

It is an arithmetic number, because the mean of its divisors is an integer number (43087303000).

Almost surely, 2^{8282959692800} is an apocalyptic number.

8282959692800 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 8282959692800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11375047992000).

8282959692800 is an abundant number, since it is smaller than the sum of its proper divisors (14467136291200).

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

8282959692800 is a wasteful number, since it uses less digits than its factorization.

8282959692800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3278 (or 3255 counting only the distinct ones).

The product of its (nonzero) digits is 89579520, while the sum is 68.

The spelling of 8282959692800 in words is "eight trillion, two hundred eighty-two billion, nine hundred fifty-nine million, six hundred ninety-two thousand, eight hundred".