659632008280 has 1152 divisors, whose sum is σ = 2094005260800. Its totient is φ = 185330073600.

The previous prime is 659632008253. The next prime is 659632008293. The reversal of 659632008280 is 82800236956.

It is a super-5 number, since 5×659632008280⁵ (a number of 60 digits) contains 55555 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a congruent number.

It is an unprimeable number.

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 287 ways as a sum of consecutive naturals, for example, 10813639450 + ... + 10813639510.

It is an arithmetic number, because the mean of its divisors is an integer number (1817712900).

Almost surely, 2^659632008280 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 659632008280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1047002630400).

659632008280 is an abundant number, since it is smaller than the sum of its proper divisors (1434373252520).

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

659632008280 is a wasteful number, since it uses less digits than its factorization.

659632008280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 49.

The spelling of 659632008280 in words is "six hundred fifty-nine billion, six hundred thirty-two million, eight thousand, two hundred eighty".