8210478785600 has 672 divisors, whose sum is σ = 26248373329920. Its totient is φ = 2454707773440.

The previous prime is 8210478785599. The next prime is 8210478785603. The reversal of 8210478785600 is 65878740128.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is not an unprimeable number, because it can be changed into a prime (8210478785603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1015264757 + ... + 1015272843.

It is an arithmetic number, because the mean of its divisors is an integer number (39060079360).

Almost surely, 2^{8210478785600} is an apocalyptic number.

8210478785600 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 8210478785600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13124186664960).

8210478785600 is an abundant number, since it is smaller than the sum of its proper divisors (18037894544320).

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

8210478785600 is a wasteful number, since it uses less digits than its factorization.

8210478785600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8515 (or 8500 counting only the distinct ones).

The product of its (nonzero) digits is 6021120, while the sum is 56.

The spelling of 8210478785600 in words is "eight trillion, two hundred ten billion, four hundred seventy-eight million, seven hundred eighty-five thousand, six hundred".