84288000000 has 364 divisors, whose sum is σ = 281562020960. Its totient is φ = 22425600000.

The previous prime is 84287999987. The next prime is 84288000007. The reversal of 84288000000 is 88248.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84288000007) by changing a digit.

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 27 ways as a sum of consecutive naturals, for example, 191999781 + ... + 192000219.

Almost surely, 2^84288000000 is an apocalyptic number.

84288000000 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 84288000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140781010480).

84288000000 is an abundant number, since it is smaller than the sum of its proper divisors (197274020960).

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

84288000000 is an frugal number, since it uses more digits than its factorization.

84288000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 30.

Adding to 84288000000 its reverse (88248), we get a palindrome (84288088248).

The spelling of 84288000000 in words is "eighty-four billion, two hundred eighty-eight million", and thus it is an aban number.