84227299200 has 1152 divisors, whose sum is σ = 349433884800. Its totient is φ = 19856793600.

The previous prime is 84227299199. The next prime is 84227299229. The reversal of 84227299200 is 299272248.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 143 ways as a sum of consecutive naturals, for example, 367804686 + ... + 367804914.

It is an arithmetic number, because the mean of its divisors is an integer number (303328025).

Almost surely, 2^84227299200 is an apocalyptic number.

84227299200 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 84227299200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174716942400).

84227299200 is an abundant number, since it is smaller than the sum of its proper divisors (265206585600).

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

84227299200 is a wasteful number, since it uses less digits than its factorization.

84227299200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 84227299200 in words is "eighty-four billion, two hundred twenty-seven million, two hundred ninety-nine thousand, two hundred".