84028844482560 has 1568 divisors, whose sum is σ = 326943347290560. Its totient is φ = 20649440968704.

The previous prime is 84028844482547. The next prime is 84028844482573. The reversal of 84028844482560 is 6528444882048.

84028844482560 is a `hidden beast` number, since 8 + 4 + 0 + 28 + 8 + 4 + 4 + 48 + 2 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (84028844482547) and next prime (84028844482573).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 20991465519 + ... + 20991469521.

Almost surely, 2^{84028844482560} is an apocalyptic number.

84028844482560 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 84028844482560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163471673645280).

84028844482560 is an abundant number, since it is smaller than the sum of its proper divisors (242914502808000).

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

84028844482560 is an equidigital number, since it uses as much as digits as its factorization.

84028844482560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4108 (or 4069 counting only the distinct ones).

The product of its (nonzero) digits is 125829120, while the sum is 63.

The spelling of 84028844482560 in words is "eighty-four trillion, twenty-eight billion, eight hundred forty-four million, four hundred eighty-two thousand, five hundred sixty".