259601217963648 has 64 divisors (see below), whose sum is σ = 752253529338720. Its totient is φ = 78667035745280.

The previous prime is 259601217963559. The next prime is 259601217963667. The reversal of 259601217963648 is 846369712106952.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30729306615 + ... + 30729315062.

It is a 1-persistent number, because it is pandigital, but 2⋅259601217963648 = 519202435927296 is not.

Almost surely, 2^{259601217963648} is an apocalyptic number.

It is an amenable number.

259601217963648 is an abundant number, since it is smaller than the sum of its proper divisors (492652311375072).

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

259601217963648 is a wasteful number, since it uses less digits than its factorization.

259601217963648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61458621705 (or 61458621693 counting only the distinct ones).

The product of its (nonzero) digits is 235146240, while the sum is 69.

The spelling of 259601217963648 in words is "two hundred fifty-nine trillion, six hundred one billion, two hundred seventeen million, nine hundred sixty-three thousand, six hundred forty-eight".