84432523124280 has 512 divisors, whose sum is σ = 264472633958400. Its totient is φ = 21546259200000.

The previous prime is 84432523124237. The next prime is 84432523124311. The reversal of 84432523124280 is 8242132523448.

It is a happy number.

It is a super-2 number, since 2×84432523124280² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 30122197359 + ... + 30122200161.

It is an arithmetic number, because the mean of its divisors is an integer number (516548113200).

Almost surely, 2^{84432523124280} 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 84432523124280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132236316979200).

84432523124280 is an abundant number, since it is smaller than the sum of its proper divisors (180040110834120).

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

84432523124280 is a wasteful number, since it uses less digits than its factorization.

84432523124280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3435 (or 3431 counting only the distinct ones).

The product of its (nonzero) digits is 2949120, while the sum is 48.

The spelling of 84432523124280 in words is "eighty-four trillion, four hundred thirty-two billion, five hundred twenty-three million, one hundred twenty-four thousand, two hundred eighty".