18366289920 has 864 divisors, whose sum is σ = 73747936080. Its totient is φ = 4379443200.

The previous prime is 18366289919. The next prime is 18366289937. The reversal of 18366289920 is 2998266381.

18366289920 is a `hidden beast` number, since 1 + 8 + 3 + 6 + 628 + 9 + 9 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 301086690 + ... + 301086750.

Almost surely, 2^18366289920 is an apocalyptic number.

18366289920 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 18366289920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36873968040).

18366289920 is an abundant number, since it is smaller than the sum of its proper divisors (55381646160).

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

18366289920 is an equidigital number, since it uses as much as digits as its factorization.

18366289920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 18366289920 in words is "eighteen billion, three hundred sixty-six million, two hundred eighty-nine thousand, nine hundred twenty".