84558791680 has 264 divisors, whose sum is σ = 233597744640. Its totient is φ = 29123297280.

The previous prime is 84558791663. The next prime is 84558791689. The reversal of 84558791680 is 8619785548.

It is not an unprimeable number, because it can be changed into a prime (84558791689) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20329441 + ... + 20333599.

Almost surely, 2^84558791680 is an apocalyptic number.

84558791680 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 84558791680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116798872320).

84558791680 is an abundant number, since it is smaller than the sum of its proper divisors (149038952960).

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

84558791680 is a wasteful number, since it uses less digits than its factorization.

84558791680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4233 (or 4196 counting only the distinct ones).

The product of its (nonzero) digits is 19353600, while the sum is 61.

The spelling of 84558791680 in words is "eighty-four billion, five hundred fifty-eight million, seven hundred ninety-one thousand, six hundred eighty".