84281943200 has 288 divisors, whose sum is σ = 257399775360. Its totient is φ = 26235187200.

The previous prime is 84281943197. The next prime is 84281943257. The reversal of 84281943200 is 234918248.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4431311 + ... + 4450289.

It is an arithmetic number, because the mean of its divisors is an integer number (893749220).

Almost surely, 2^84281943200 is an apocalyptic number.

84281943200 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 84281943200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128699887680).

84281943200 is an abundant number, since it is smaller than the sum of its proper divisors (173117832160).

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

84281943200 is a wasteful number, since it uses less digits than its factorization.

84281943200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19080 (or 19067 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 41.

The spelling of 84281943200 in words is "eighty-four billion, two hundred eighty-one million, nine hundred forty-three thousand, two hundred".