8228171023200 has 864 divisors, whose sum is σ = 30863502109440. Its totient is φ = 2056919961600.

The previous prime is 8228171023159. The next prime is 8228171023217. The reversal of 8228171023200 is 23201718228.

8228171023200 is a `hidden beast` number, since 8 + 228 + 1 + 7 + 102 + 320 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5686364877 + ... + 5686366323.

It is an arithmetic number, because the mean of its divisors is an integer number (35721645960).

Almost surely, 2^{8228171023200} is an apocalyptic number.

8228171023200 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 8228171023200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15431751054720).

8228171023200 is an abundant number, since it is smaller than the sum of its proper divisors (22635331086240).

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

8228171023200 is a wasteful number, since it uses less digits than its factorization.

8228171023200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1900 (or 1884 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 8228171023200 in words is "eight trillion, two hundred twenty-eight billion, one hundred seventy-one million, twenty-three thousand, two hundred".