259966798560 has 864 divisors, whose sum is σ = 1071794820096. Its totient is φ = 56182118400.

The previous prime is 259966798541. The next prime is 259966798561. The reversal of 259966798560 is 65897669952.

259966798560 is a `hidden beast` number, since 2 + 59 + 9 + 6 + 6 + 7 + 9 + 8 + 560 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (259966798561) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 455283075 + ... + 455283645.

It is an arithmetic number, because the mean of its divisors is an integer number (1240503264).

Almost surely, 2^259966798560 is an apocalyptic number.

259966798560 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 259966798560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535897410048).

259966798560 is an abundant number, since it is smaller than the sum of its proper divisors (811828021536).

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

259966798560 is a wasteful number, since it uses less digits than its factorization.

259966798560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 708 (or 666 counting only the distinct ones).

The product of its (nonzero) digits is 440899200, while the sum is 72.

The spelling of 259966798560 in words is "two hundred fifty-nine billion, nine hundred sixty-six million, seven hundred ninety-eight thousand, five hundred sixty".