18065771366400 has 720 divisors, whose sum is σ = 67265039761920. Its totient is φ = 4792106188800.

The previous prime is 18065771366369. The next prime is 18065771366407. The reversal of 18065771366400 is 466317756081.

18065771366400 is a `hidden beast` number, since 1 + 8 + 0 + 6 + 577 + 1 + 3 + 6 + 64 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (18065771366407) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 792103797 + ... + 792126603.

It is an arithmetic number, because the mean of its divisors is an integer number (93423666336).

Almost surely, 2^{18065771366400} is an apocalyptic number.

18065771366400 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 18065771366400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33632519880960).

18065771366400 is an abundant number, since it is smaller than the sum of its proper divisors (49199268395520).

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

18065771366400 is a wasteful number, since it uses less digits than its factorization.

18065771366400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23042 (or 23008 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 18065771366400 in words is "eighteen trillion, sixty-five billion, seven hundred seventy-one million, three hundred sixty-six thousand, four hundred".