259759225116 has 144 divisors (see below), whose sum is σ = 714256583040. Its totient is φ = 79327382400.

The previous prime is 259759225069. The next prime is 259759225127. The reversal of 259759225116 is 611522957952.

259759225116 is a `hidden beast` number, since 2 + 59 + 7 + 59 + 22 + 511 + 6 = 666.

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, 2926891 + ... + 3014333.

It is an arithmetic number, because the mean of its divisors is an integer number (4960115160).

Almost surely, 2^259759225116 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 259759225116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357128291520).

259759225116 is an abundant number, since it is smaller than the sum of its proper divisors (454497357924).

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

259759225116 is a wasteful number, since it uses less digits than its factorization.

259759225116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87616 (or 87611 counting only the distinct ones).

The product of its digits is 3402000, while the sum is 54.

The spelling of 259759225116 in words is "two hundred fifty-nine billion, seven hundred fifty-nine million, two hundred twenty-five thousand, one hundred sixteen".