84883755028800 has 1008 divisors, whose sum is σ = 349309160907840. Its totient is φ = 17887350620160.

The previous prime is 84883755028799. The next prime is 84883755028817. The reversal of 84883755028800 is 882055738848.

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, 2528618416 + ... + 2528651984.

It is an arithmetic number, because the mean of its divisors is an integer number (346536865980).

Almost surely, 2^{84883755028800} is an apocalyptic number.

84883755028800 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 84883755028800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174654580453920).

84883755028800 is an abundant number, since it is smaller than the sum of its proper divisors (264425405879040).

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

84883755028800 is a wasteful number, since it uses less digits than its factorization.

84883755028800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34448 (or 34426 counting only the distinct ones).

The product of its (nonzero) digits is 137625600, while the sum is 66.

The spelling of 84883755028800 in words is "eighty-four trillion, eight hundred eighty-three billion, seven hundred fifty-five million, twenty-eight thousand, eight hundred".