18810050968800 has 6912 divisors, whose sum is σ = 96950794752000. Its totient is φ = 3469899202560.

The previous prime is 18810050968727. The next prime is 18810050968867. The reversal of 18810050968800 is 886905001881.

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 polite number, since it can be written in 1151 ways as a sum of consecutive naturals, for example, 318814423171 + ... + 318814423229.

It is an arithmetic number, because the mean of its divisors is an integer number (14026446000).

Almost surely, 2^{18810050968800} is an apocalyptic number.

18810050968800 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 18810050968800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48475397376000).

18810050968800 is an abundant number, since it is smaller than the sum of its proper divisors (78140743783200).

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

18810050968800 is a wasteful number, since it uses less digits than its factorization.

18810050968800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 182 counting only the distinct ones).

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

The spelling of 18810050968800 in words is "eighteen trillion, eight hundred ten billion, fifty million, nine hundred sixty-eight thousand, eight hundred".