18042509721600 has 3024 divisors, whose sum is σ = 83563655458752. Its totient is φ = 3760906567680.

The previous prime is 18042509721569. The next prime is 18042509721689. The reversal of 18042509721600 is 612790524081.

18042509721600 is a `hidden beast` number, since 1 + 8 + 0 + 425 + 0 + 9 + 7 + 216 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3024).

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 167 ways as a sum of consecutive naturals, for example, 217379635159 + ... + 217379635241.

It is an arithmetic number, because the mean of its divisors is an integer number (27633483948).

Almost surely, 2^{18042509721600} is an apocalyptic number.

18042509721600 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 18042509721600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41781827729376).

18042509721600 is an abundant number, since it is smaller than the sum of its proper divisors (65521145737152).

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

18042509721600 is an frugal number, since it uses more digits than its factorization.

18042509721600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 18042509721600 in words is "eighteen trillion, forty-two billion, five hundred nine million, seven hundred twenty-one thousand, six hundred".