8059207816800 has 1440 divisors, whose sum is σ = 34718909347584. Its totient is φ = 1781015040000.

The previous prime is 8059207816739. The next prime is 8059207816819. The reversal of 8059207816800 is 86187029508.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1969982755 + ... + 1969986845.

Almost surely, 2^{8059207816800} is an apocalyptic number.

8059207816800 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 8059207816800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17359454673792).

8059207816800 is an abundant number, since it is smaller than the sum of its proper divisors (26659701530784).

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

8059207816800 is a wasteful number, since it uses less digits than its factorization.

8059207816800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4274 (or 4252 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 54.

The spelling of 8059207816800 in words is "eight trillion, fifty-nine billion, two hundred seven million, eight hundred sixteen thousand, eight hundred".