84518208000 has 640 divisors, whose sum is σ = 317899296000. Its totient is φ = 22129459200.

The previous prime is 84518207953. The next prime is 84518208007. The reversal of 84518208000 is 80281548.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84518208007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 101951586 + ... + 101952414.

It is an arithmetic number, because the mean of its divisors is an integer number (496717650).

Almost surely, 2^84518208000 is an apocalyptic number.

84518208000 is a gapful number since it is divisible by the number (80) 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 84518208000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158949648000).

84518208000 is an abundant number, since it is smaller than the sum of its proper divisors (233381088000).

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

84518208000 is an equidigital number, since it uses as much as digits as its factorization.

84518208000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 930 (or 898 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

Adding to 84518208000 its reverse (80281548), we get a palindrome (84598489548).

The spelling of 84518208000 in words is "eighty-four billion, five hundred eighteen million, two hundred eight thousand".