82430009280 has 168 divisors, whose sum is σ = 290118923952. Its totient is φ = 21470109696.

The previous prime is 82430009213. The next prime is 82430009287. The reversal of 82430009280 is 8290003428.

It is a super-2 number, since 2×82430009280² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82430009287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 208969 + ... + 456648.

Almost surely, 2^82430009280 is an apocalyptic number.

82430009280 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

82430009280 is an abundant number, since it is smaller than the sum of its proper divisors (207688914672).

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

82430009280 is a wasteful number, since it uses less digits than its factorization.

82430009280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 665683 (or 665670 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 82430009280 in words is "eighty-two billion, four hundred thirty million, nine thousand, two hundred eighty".