8506825113600 has 864 divisors, whose sum is σ = 34099813097280. Its totient is φ = 2062024704000.

The previous prime is 8506825113533. The next prime is 8506825113653. The reversal of 8506825113600 is 63115286058.

8506825113600 is a `hidden beast` number, since 8 + 5 + 0 + 6 + 8 + 25 + 1 + 13 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 973205230 + ... + 973213970.

It is an arithmetic number, because the mean of its divisors is an integer number (39467376270).

Almost surely, 2^{8506825113600} is an apocalyptic number.

8506825113600 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 8506825113600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17049906548640).

8506825113600 is an abundant number, since it is smaller than the sum of its proper divisors (25592987983680).

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

8506825113600 is an equidigital number, since it uses as much as digits as its factorization.

8506825113600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8805 (or 8762 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 8506825113600 in words is "eight trillion, five hundred six billion, eight hundred twenty-five million, one hundred thirteen thousand, six hundred".