18705099439872 has 288 divisors, whose sum is σ = 60103803648000. Its totient is φ = 5716327956480.

The previous prime is 18705099439843. The next prime is 18705099439889. The reversal of 18705099439872 is 27893499050781.

18705099439872 is a `hidden beast` number, since 1 + 8 + 7 + 0 + 509 + 9 + 4 + 39 + 87 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 18705099439872.

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, 1773904 + ... + 6368432.

Almost surely, 2^{18705099439872} is an apocalyptic number.

18705099439872 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 18705099439872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30051901824000).

18705099439872 is an abundant number, since it is smaller than the sum of its proper divisors (41398704208128).

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

18705099439872 is a wasteful number, since it uses less digits than its factorization.

18705099439872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4594604 (or 4594584 counting only the distinct ones).

The product of its (nonzero) digits is 274337280, while the sum is 72.

The spelling of 18705099439872 in words is "eighteen trillion, seven hundred five billion, ninety-nine million, four hundred thirty-nine thousand, eight hundred seventy-two".