18805011905680 has 1280 divisors, whose sum is σ = 64101497241600. Its totient is φ = 4935831552000.

The previous prime is 18805011905671. The next prime is 18805011905681. The reversal of 18805011905680 is 8650911050881.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is not an unprimeable number, because it can be changed into a prime (18805011905681) by changing a digit.

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 255 ways as a sum of consecutive naturals, for example, 10801269610 + ... + 10801271350.

It is an arithmetic number, because the mean of its divisors is an integer number (50079294720).

Almost surely, 2^{18805011905680} is an apocalyptic number.

18805011905680 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 18805011905680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32050748620800).

18805011905680 is an abundant number, since it is smaller than the sum of its proper divisors (45296485335920).

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

18805011905680 is a wasteful number, since it uses less digits than its factorization.

18805011905680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2064 (or 2058 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 52.

The spelling of 18805011905680 in words is "eighteen trillion, eight hundred five billion, eleven million, nine hundred five thousand, six hundred eighty".