18886209871872 has 672 divisors, whose sum is σ = 63657092782080. Its totient is φ = 4946965954560.

The previous prime is 18886209871843. The next prime is 18886209871889. The reversal of 18886209871872 is 27817890268881.

It is a tau number, because it is divible by the number of its divisors (672).

It is a junction number, because it is equal to n+sod(n) for n = 18886209871794 and 18886209871803.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 709274623 + ... + 709301249.

It is an arithmetic number, because the mean of its divisors is an integer number (94727816640).

Almost surely, 2^{18886209871872} is an apocalyptic number.

18886209871872 is a gapful number since it is divisible by the number (12) 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 18886209871872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31828546391040).

18886209871872 is an abundant number, since it is smaller than the sum of its proper divisors (44770882910208).

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

18886209871872 is a wasteful number, since it uses less digits than its factorization.

18886209871872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26720 (or 26689 counting only the distinct ones).

The product of its (nonzero) digits is 346816512, while the sum is 75.

The spelling of 18886209871872 in words is "eighteen trillion, eight hundred eighty-six billion, two hundred nine million, eight hundred seventy-one thousand, eight hundred seventy-two".