8126216000 has 336 divisors, whose sum is σ = 23922752256. Its totient is φ = 2678400000.

The previous prime is 8126215987. The next prime is 8126216009. The reversal of 8126216000 is 6126218.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8126216009) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 53815925 + ... + 53816075.

Almost surely, 2^8126216000 is an apocalyptic number.

8126216000 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 8126216000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11961376128).

8126216000 is an abundant number, since it is smaller than the sum of its proper divisors (15796536256).

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

8126216000 is a wasteful number, since it uses less digits than its factorization.

8126216000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 8126216000 is about 90145.5267886322. The cubic root of 8126216000 is about 2010.4631656255.

The spelling of 8126216000 in words is "eight billion, one hundred twenty-six million, two hundred sixteen thousand".