18986284800 has 972 divisors, whose sum is σ = 81796587600. Its totient is φ = 4199731200.

The previous prime is 18986284741. The next prime is 18986284813. The reversal of 18986284800 is 848268981.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

18986284800 is a `hidden beast` number, since 1 + 8 + 9 + 8 + 628 + 4 + 8 + 0 + 0 = 666.

It is a super-2 number, since 2×18986284800² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 612460785 + ... + 612460815.

Almost surely, 2^18986284800 is an apocalyptic number.

18986284800 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 18986284800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40898293800).

18986284800 is an abundant number, since it is smaller than the sum of its proper divisors (62810302800).

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

18986284800 is an equidigital number, since it uses as much as digits as its factorization.

18986284800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 54.

The spelling of 18986284800 in words is "eighteen billion, nine hundred eighty-six million, two hundred eighty-four thousand, eight hundred".