18272550240 has 288 divisors, whose sum is σ = 73903415040. Its totient is φ = 4176520704.

The previous prime is 18272550167. The next prime is 18272550251. The reversal of 18272550240 is 4205527281.

It is a happy number.

18272550240 is a `hidden beast` number, since 1 + 82 + 7 + 2 + 550 + 24 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 18272550195 and 18272550204.

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 47 ways as a sum of consecutive naturals, for example, 238591 + ... + 305729.

It is an arithmetic number, because the mean of its divisors is an integer number (256609080).

Almost surely, 2^18272550240 is an apocalyptic number.

18272550240 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 18272550240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36951707520).

18272550240 is an abundant number, since it is smaller than the sum of its proper divisors (55630864800).

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

18272550240 is an equidigital number, since it uses as much as digits as its factorization.

18272550240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67176 (or 67156 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

The spelling of 18272550240 in words is "eighteen billion, two hundred seventy-two million, five hundred fifty thousand, two hundred forty".