659080582272 has 1080 divisors, whose sum is σ = 2460468506265. Its totient is φ = 174586503168.

The previous prime is 659080582267. The next prime is 659080582283. The reversal of 659080582272 is 272285080956.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

659080582272 is a `hidden beast` number, since 6 + 59 + 0 + 8 + 0 + 582 + 2 + 7 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 603206968896 + 55873613376 = 776664^2 + 236376^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=574056.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 9837023583 + ... + 9837023649.

Almost surely, 2^659080582272 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 659080582272

659080582272 is an abundant number, since it is smaller than the sum of its proper divisors (1801387923993).

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

659080582272 is an equidigital number, since it uses as much as digits as its factorization.

659080582272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 659080582272 in words is "six hundred fifty-nine billion, eighty million, five hundred eighty-two thousand, two hundred seventy-two".