6818098510080 has 3456 divisors, whose sum is σ = 31102678204416. Its totient is φ = 1404606873600.

The previous prime is 6818098510039. The next prime is 6818098510087. The reversal of 6818098510080 is 800158908186.

It is a tau number, because it is divible by the number of its divisors (3456).

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

It is a junction number, because it is equal to n+sod(n) for n = 6818098509999 and 6818098510026.

It is not an unprimeable number, because it can be changed into a prime (6818098510087) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 53685814977 + ... + 53685815103.

It is an arithmetic number, because the mean of its divisors is an integer number (8999617536).

Almost surely, 2^{6818098510080} is an apocalyptic number.

6818098510080 is a gapful number since it is divisible by the number (60) 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 6818098510080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15551339102208).

6818098510080 is an abundant number, since it is smaller than the sum of its proper divisors (24284579694336).

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

6818098510080 is a wasteful number, since it uses less digits than its factorization.

6818098510080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 54.

The spelling of 6818098510080 in words is "six trillion, eight hundred eighteen billion, ninety-eight million, five hundred ten thousand, eighty".