18820300800 has 408 divisors, whose sum is σ = 71252292736. Its totient is φ = 4293918720.

The previous prime is 18820300783. The next prime is 18820300813. The reversal of 18820300800 is 800302881.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34406127 + ... + 34406673.

Almost surely, 2^18820300800 is an apocalyptic number.

18820300800 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 18820300800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35626146368).

18820300800 is an abundant number, since it is smaller than the sum of its proper divisors (52431991936).

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

18820300800 is an frugal number, since it uses more digits than its factorization.

18820300800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 599 (or 564 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

The spelling of 18820300800 in words is "eighteen billion, eight hundred twenty million, three hundred thousand, eight hundred".