18827350389120 has 2048 divisors, whose sum is σ = 81863777157120. Its totient is φ = 3567255552000.

The previous prime is 18827350389061. The next prime is 18827350389121. The reversal of 18827350389120 is 2198305372881.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18827350389121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 6721651720 + ... + 6721654520.

It is an arithmetic number, because the mean of its divisors is an integer number (39972547440).

Almost surely, 2^{18827350389120} is an apocalyptic number.

18827350389120 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 18827350389120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40931888578560).

18827350389120 is an abundant number, since it is smaller than the sum of its proper divisors (63036426768000).

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

18827350389120 is a wasteful number, since it uses less digits than its factorization.

18827350389120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2964 (or 2952 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 57.

The spelling of 18827350389120 in words is "eighteen trillion, eight hundred twenty-seven billion, three hundred fifty million, three hundred eighty-nine thousand, one hundred twenty".