84128844800 has 1056 divisors, whose sum is σ = 289973107200. Its totient is φ = 23843635200.

The previous prime is 84128844799. The next prime is 84128844893. The reversal of 84128844800 is 844882148.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1255654367 + ... + 1255654433.

Almost surely, 2^84128844800 is an apocalyptic number.

84128844800 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 84128844800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144986553600).

84128844800 is an abundant number, since it is smaller than the sum of its proper divisors (205844262400).

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

84128844800 is a wasteful number, since it uses less digits than its factorization.

84128844800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 524288, while the sum is 47.

The spelling of 84128844800 in words is "eighty-four billion, one hundred twenty-eight million, eight hundred forty-four thousand, eight hundred".