8325585838080 has 2688 divisors, whose sum is σ = 37572798412800. Its totient is φ = 1708333203456.

The previous prime is 8325585838049. The next prime is 8325585838081. The reversal of 8325585838080 is 808385855238.

8325585838080 is a `hidden beast` number, since 8 + 325 + 5 + 85 + 83 + 80 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (2688).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 8325585837999 and 8325585838017.

It is not an unprimeable number, because it can be changed into a prime (8325585838081) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 77809213387 + ... + 77809213493.

It is an arithmetic number, because the mean of its divisors is an integer number (13977975600).

Almost surely, 2^{8325585838080} is an apocalyptic number.

8325585838080 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 8325585838080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18786399206400).

8325585838080 is an abundant number, since it is smaller than the sum of its proper divisors (29247212574720).

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

8325585838080 is a wasteful number, since it uses less digits than its factorization.

8325585838080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 73728000, while the sum is 63.

The spelling of 8325585838080 in words is "eight trillion, three hundred twenty-five billion, five hundred eighty-five million, eight hundred thirty-eight thousand, eighty".