8505825408000 has 1056 divisors, whose sum is σ = 32352367956480. Its totient is φ = 2144629555200.

The previous prime is 8505825407983. The next prime is 8505825408011. The reversal of 8505825408000 is 8045285058.

8505825408000 is a `hidden beast` number, since 8 + 50 + 58 + 2 + 540 + 8 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2358142197 + ... + 2358145803.

It is an arithmetic number, because the mean of its divisors is an integer number (30636712080).

Almost surely, 2^{8505825408000} is an apocalyptic number.

8505825408000 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 8505825408000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16176183978240).

8505825408000 is an abundant number, since it is smaller than the sum of its proper divisors (23846542548480).

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

8505825408000 is a wasteful number, since it uses less digits than its factorization.

8505825408000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3760 (or 3729 counting only the distinct ones).

The product of its (nonzero) digits is 512000, while the sum is 45.

The spelling of 8505825408000 in words is "eight trillion, five hundred five billion, eight hundred twenty-five million, four hundred eight thousand".