8116271800 has 384 divisors, whose sum is σ = 24998400000. Its totient is φ = 2428392960.

The previous prime is 8116271797. The next prime is 8116271837. The reversal of 8116271800 is 81726118.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16943961 + ... + 16944439.

It is an arithmetic number, because the mean of its divisors is an integer number (65100000).

Almost surely, 2^8116271800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8116271800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12499200000).

8116271800 is an abundant number, since it is smaller than the sum of its proper divisors (16882128200).

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

8116271800 is a wasteful number, since it uses less digits than its factorization.

8116271800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 548 (or 525 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 34.

The square root of 8116271800 is about 90090.3535346599. The cubic root of 8116271800 is about 2009.6427506294.

Adding to 8116271800 its reverse (81726118), we get a palindrome (8197997918).

The spelling of 8116271800 in words is "eight billion, one hundred sixteen million, two hundred seventy-one thousand, eight hundred".