259636596480 has 432 divisors, whose sum is σ = 961673416704. Its totient is φ = 67000504320.

The previous prime is 259636596463. The next prime is 259636596497. The reversal of 259636596480 is 84695636952.

259636596480 is a `hidden beast` number, since 2 + 5 + 9 + 6 + 3 + 65 + 96 + 480 = 666.

It is an interprime number because it is at equal distance from previous prime (259636596463) and next prime (259636596497).

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×259636596480² (a number of 24 digits) contains 22 as substring.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9628777 + ... + 9655703.

It is an arithmetic number, because the mean of its divisors is an integer number (2226095872).

Almost surely, 2^259636596480 is an apocalyptic number.

259636596480 is a gapful number since it is divisible by the number (20) 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 259636596480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (480836708352).

259636596480 is an abundant number, since it is smaller than the sum of its proper divisors (702036820224).

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

259636596480 is an equidigital number, since it uses as much as digits as its factorization.

259636596480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26994 (or 26968 counting only the distinct ones).

The product of its (nonzero) digits is 83980800, while the sum is 63.

The spelling of 259636596480 in words is "two hundred fifty-nine billion, six hundred thirty-six million, five hundred ninety-six thousand, four hundred eighty".