84045811200 has 480 divisors, whose sum is σ = 308698908672. Its totient is φ = 20017152000.

The previous prime is 84045811181. The next prime is 84045811217. The reversal of 84045811200 is 211854048.

It is a tau number, because it is divible by the number of its divisors (480).

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, 15472485 + ... + 15477915.

Almost surely, 2^84045811200 is an apocalyptic number.

84045811200 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 84045811200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154349454336).

84045811200 is an abundant number, since it is smaller than the sum of its proper divisors (224653097472).

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

84045811200 is a wasteful number, since it uses less digits than its factorization.

84045811200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5506 (or 5485 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 33.

The spelling of 84045811200 in words is "eighty-four billion, forty-five million, eight hundred eleven thousand, two hundred".