259671322680 has 512 divisors, whose sum is σ = 1055357337600. Its totient is φ = 49467801600.

The previous prime is 259671322627. The next prime is 259671322697. The reversal of 259671322680 is 86223176952.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5418504 + ... + 5466216.

It is an arithmetic number, because the mean of its divisors is an integer number (2061244800).

Almost surely, 2^259671322680 is an apocalyptic number.

259671322680 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 259671322680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (527678668800).

259671322680 is an abundant number, since it is smaller than the sum of its proper divisors (795686014920).

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

259671322680 is a wasteful number, since it uses less digits than its factorization.

259671322680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47795 (or 47791 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 51.

The spelling of 259671322680 in words is "two hundred fifty-nine billion, six hundred seventy-one million, three hundred twenty-two thousand, six hundred eighty".