84282134580 has 576 divisors, whose sum is σ = 322354206720. Its totient is φ = 18055872000.

The previous prime is 84282134539. The next prime is 84282134581. The reversal of 84282134580 is 8543128248.

84282134580 is a `hidden beast` number, since 8 + 42 + 8 + 21 + 3 + 4 + 580 = 666.

It is a super-2 number, since 2×84282134580² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84282134581) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 65283735 + ... + 65285025.

It is an arithmetic number, because the mean of its divisors is an integer number (559642720).

Almost surely, 2^84282134580 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 84282134580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161177103360).

84282134580 is an abundant number, since it is smaller than the sum of its proper divisors (238072072140).

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

84282134580 is a wasteful number, since it uses less digits than its factorization.

84282134580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1442 (or 1428 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The spelling of 84282134580 in words is "eighty-four billion, two hundred eighty-two million, one hundred thirty-four thousand, five hundred eighty".