84528105984 has 480 divisors, whose sum is σ = 293417220096. Its totient is φ = 23793315840.

The previous prime is 84528105979. The next prime is 84528106063. The reversal of 84528105984 is 48950182548.

84528105984 is a `hidden beast` number, since 8 + 4 + 528 + 105 + 9 + 8 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 84528105984.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 61834069 + ... + 61835435.

Almost surely, 2^84528105984 is an apocalyptic number.

84528105984 is a gapful number since it is divisible by the number (84) 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 84528105984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146708610048).

84528105984 is an abundant number, since it is smaller than the sum of its proper divisors (208889114112).

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

84528105984 is an equidigital number, since it uses as much as digits as its factorization.

84528105984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1478 (or 1450 counting only the distinct ones).

The product of its (nonzero) digits is 3686400, while the sum is 54.

The spelling of 84528105984 in words is "eighty-four billion, five hundred twenty-eight million, one hundred five thousand, nine hundred eighty-four".