10018735110080 has 224 divisors, whose sum is σ = 24119406484992. Its totient is φ = 3963752755200.

The previous prime is 10018735110061. The next prime is 10018735110121. The reversal of 10018735110080 is 8001153781001.

It is a self number, because there is not a number n which added to its sum of digits gives 10018735110080.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15877551365 + ... + 15877551995.

It is an arithmetic number, because the mean of its divisors is an integer number (107675921808).

Almost surely, 2^{10018735110080} is an apocalyptic number.

10018735110080 is a gapful number since it is divisible by the number (10) 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 10018735110080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12059703242496).

10018735110080 is an abundant number, since it is smaller than the sum of its proper divisors (14100671374912).

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

10018735110080 is a wasteful number, since it uses less digits than its factorization.

10018735110080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1883 (or 1873 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 35.

Adding to 10018735110080 its reverse (8001153781001), we get a palindrome (18019888891081).

The spelling of 10018735110080 in words is "ten trillion, eighteen billion, seven hundred thirty-five million, one hundred ten thousand, eighty".