659587551168 has 1792 divisors, whose sum is σ = 2523451392000. Its totient is φ = 150214901760.

The previous prime is 659587551163. The next prime is 659587551169. The reversal of 659587551168 is 861155785956.

659587551168 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

Its product of digits (90720000) is a multiple of the sum of its prime factors (175).

It is a junction number, because it is equal to n+sod(n) for n = 659587551099 and 659587551108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (659587551163) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 15339245355 + ... + 15339245397.

It is an arithmetic number, because the mean of its divisors is an integer number (1408176000).

Almost surely, 2^659587551168 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 659587551168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1261725696000).

659587551168 is an abundant number, since it is smaller than the sum of its proper divisors (1863863840832).

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

659587551168 is a wasteful number, since it uses less digits than its factorization.

659587551168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 151 counting only the distinct ones).

The product of its digits is 90720000, while the sum is 66.

The spelling of 659587551168 in words is "six hundred fifty-nine billion, five hundred eighty-seven million, five hundred fifty-one thousand, one hundred sixty-eight".