18206385120 has 768 divisors, whose sum is σ = 81139968000. Its totient is φ = 3779758080.

The previous prime is 18206385091. The next prime is 18206385121. The reversal of 18206385120 is 2158360281.

It is a happy number.

18206385120 is a `hidden beast` number, since 1 + 8 + 2 + 0 + 638 + 5 + 12 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18206385121) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 16298802 + ... + 16299918.

It is an arithmetic number, because the mean of its divisors is an integer number (105651000).

Almost surely, 2^18206385120 is an apocalyptic number.

18206385120 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 18206385120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40569984000).

18206385120 is an abundant number, since it is smaller than the sum of its proper divisors (62933582880).

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

18206385120 is a wasteful number, since it uses less digits than its factorization.

18206385120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1173 (or 1145 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 18206385120 in words is "eighteen billion, two hundred six million, three hundred eighty-five thousand, one hundred twenty".