84523085440 has 128 divisors (see below), whose sum is σ = 208373368320. Its totient is φ = 32767426560.

The previous prime is 84523085419. The next prime is 84523085453. The reversal of 84523085440 is 4458032548.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3084600 + ... + 3111880.

It is an arithmetic number, because the mean of its divisors is an integer number (1627916940).

Almost surely, 2^84523085440 is an apocalyptic number.

84523085440 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 84523085440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104186684160).

84523085440 is an abundant number, since it is smaller than the sum of its proper divisors (123850282880).

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

84523085440 is a wasteful number, since it uses less digits than its factorization.

84523085440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27450 (or 27438 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 43.

The spelling of 84523085440 in words is "eighty-four billion, five hundred twenty-three million, eighty-five thousand, four hundred forty".