8224875075200 has 192 divisors, whose sum is σ = 23228393496000. Its totient is φ = 2819008880640.

The previous prime is 8224875075163. The next prime is 8224875075211. The reversal of 8224875075200 is 25705784228.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 68237387 + ... + 68357813.

It is an arithmetic number, because the mean of its divisors is an integer number (120981216125).

Almost surely, 2^{8224875075200} is an apocalyptic number.

8224875075200 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 8224875075200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11614196748000).

8224875075200 is an abundant number, since it is smaller than the sum of its proper divisors (15003518420800).

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

8224875075200 is a wasteful number, since it uses less digits than its factorization.

8224875075200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123507 (or 123490 counting only the distinct ones).

The product of its (nonzero) digits is 2508800, while the sum is 50.

The spelling of 8224875075200 in words is "eight trillion, two hundred twenty-four billion, eight hundred seventy-five million, seventy-five thousand, two hundred".