8285159779200 has 960 divisors, whose sum is σ = 32365144904400. Its totient is φ = 2083500195840.

The previous prime is 8285159779163. The next prime is 8285159779327. The reversal of 8285159779200 is 29779515828.

8285159779200 is a `hidden beast` number, since 8 + 2 + 8 + 515 + 97 + 7 + 9 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 323209584 + ... + 323235216.

Almost surely, 2^{8285159779200} is an apocalyptic number.

8285159779200 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 8285159779200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16182572452200).

8285159779200 is an abundant number, since it is smaller than the sum of its proper divisors (24079985125200).

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

8285159779200 is a wasteful number, since it uses less digits than its factorization.

8285159779200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25741 (or 25715 counting only the distinct ones).

The product of its (nonzero) digits is 25401600, while the sum is 63.

The spelling of 8285159779200 in words is "eight trillion, two hundred eighty-five billion, one hundred fifty-nine million, seven hundred seventy-nine thousand, two hundred".