18282190080 has 864 divisors, whose sum is σ = 75732064128. Its totient is φ = 3746856960.

The previous prime is 18282190079. The next prime is 18282190081. The reversal of 18282190080 is 8009128281.

It is an interprime number because it is at equal distance from previous prime (18282190079) and next prime (18282190081).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18282190081) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 250440924 + ... + 250440996.

It is an arithmetic number, because the mean of its divisors is an integer number (87652852).

Almost surely, 2^18282190080 is an apocalyptic number.

18282190080 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 18282190080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37866032064).

18282190080 is an abundant number, since it is smaller than the sum of its proper divisors (57449874048).

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

18282190080 is an equidigital number, since it uses as much as digits as its factorization.

18282190080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 39.

The spelling of 18282190080 in words is "eighteen billion, two hundred eighty-two million, one hundred ninety thousand, eighty".