84875853880416 has 384 divisors, whose sum is σ = 239689590497280. Its totient is φ = 26246500761600.

The previous prime is 84875853880387. The next prime is 84875853880417. The reversal of 84875853880416 is 61408835857848.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84875853880417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16331699130 + ... + 16331704326.

It is an arithmetic number, because the mean of its divisors is an integer number (624191641920).

Almost surely, 2^{84875853880416} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84875853880416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119844795248640).

84875853880416 is an abundant number, since it is smaller than the sum of its proper divisors (154813736616864).

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

84875853880416 is a wasteful number, since it uses less digits than its factorization.

84875853880416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7438 (or 7430 counting only the distinct ones).

The product of its (nonzero) digits is 1651507200, while the sum is 75.

The spelling of 84875853880416 in words is "eighty-four trillion, eight hundred seventy-five billion, eight hundred fifty-three million, eight hundred eighty thousand, four hundred sixteen".