84403200000 has 672 divisors, whose sum is σ = 323543541888. Its totient is φ = 19169280000.

The previous prime is 84403199983. The next prime is 84403200121. The reversal of 84403200000 is 230448.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 84403200000.

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, 537599922 + ... + 537600078.

It is an arithmetic number, because the mean of its divisors is an integer number (481463604).

Almost surely, 2^84403200000 is an apocalyptic number.

84403200000 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 84403200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161771770944).

84403200000 is an abundant number, since it is smaller than the sum of its proper divisors (239140341888).

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

84403200000 is an frugal number, since it uses more digits than its factorization.

84403200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 84403200000 its reverse (230448), we get a palindrome (84403430448).

The spelling of 84403200000 in words is "eighty-four billion, four hundred three million, two hundred thousand".