18165805056000 has 3072 divisors, whose sum is σ = 81988550542080. Its totient is φ = 3774873600000.

The previous prime is 18165805055999. The next prime is 18165805056011. The reversal of 18165805056000 is 65050856181.

18165805056000 is a `hidden beast` number, since 1 + 8 + 1 + 6 + 5 + 80 + 5 + 0 + 560 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3072).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 179859455950 + ... + 179859456050.

Almost surely, 2^{18165805056000} is an apocalyptic number.

18165805056000 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 18165805056000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40994275271040).

18165805056000 is an abundant number, since it is smaller than the sum of its proper divisors (63822745486080).

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

18165805056000 is a wasteful number, since it uses less digits than its factorization.

18165805056000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 45.

The spelling of 18165805056000 in words is "eighteen trillion, one hundred sixty-five billion, eight hundred five million, fifty-six thousand".