18273418800 has 240 divisors, whose sum is σ = 72044555520. Its totient is φ = 3855467520.

The previous prime is 18273418789. The next prime is 18273418819. The reversal of 18273418800 is 881437281.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25531 + ... + 192869.

It is an arithmetic number, because the mean of its divisors is an integer number (300185648).

Almost surely, 2^18273418800 is an apocalyptic number.

18273418800 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 18273418800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36022277760).

18273418800 is an abundant number, since it is smaller than the sum of its proper divisors (53771136720).

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

18273418800 is a wasteful number, since it uses less digits than its factorization.

18273418800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167380 (or 167369 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 42.

The spelling of 18273418800 in words is "eighteen billion, two hundred seventy-three million, four hundred eighteen thousand, eight hundred".