8052023116800 has 3168 divisors, whose sum is σ = 34737559868160. Its totient is φ = 1844621475840.

The previous prime is 8052023116799. The next prime is 8052023116817. The reversal of 8052023116800 is 86113202508.

It is a happy number.

8052023116800 is a `hidden beast` number, since 80 + 5 + 202 + 311 + 68 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 217622246382 + ... + 217622246418.

Almost surely, 2^{8052023116800} is an apocalyptic number.

8052023116800 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 8052023116800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17368779934080).

8052023116800 is an abundant number, since it is smaller than the sum of its proper divisors (26685536751360).

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

8052023116800 is a wasteful number, since it uses less digits than its factorization.

8052023116800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 8052023116800 in words is "eight trillion, fifty-two billion, twenty-three million, one hundred sixteen thousand, eight hundred".