659170008967680 has 1920 divisors, whose sum is σ = 2882395214899200. Its totient is φ = 141016367038464.

The previous prime is 659170008967663. The next prime is 659170008967751. The reversal of 659170008967680 is 86769800071956.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 659170008967599 and 659170008967608.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6867093126 + ... + 6867189114.

It is an arithmetic number, because the mean of its divisors is an integer number (1501247507760).

Almost surely, 2^{659170008967680} is an apocalyptic number.

659170008967680 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 659170008967680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1441197607449600).

659170008967680 is an abundant number, since it is smaller than the sum of its proper divisors (2223225205931520).

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

659170008967680 is an equidigital number, since it uses as much as digits as its factorization.

659170008967680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96136 (or 96108 counting only the distinct ones).

The product of its (nonzero) digits is 274337280, while the sum is 72.

The spelling of 659170008967680 in words is "six hundred fifty-nine trillion, one hundred seventy billion, eight million, nine hundred sixty-seven thousand, six hundred eighty".