259116294960 has 240 divisors, whose sum is σ = 900229524480. Its totient is φ = 66722849280.

The previous prime is 259116294917. The next prime is 259116294961. The reversal of 259116294960 is 69492611952.

259116294960 is a `hidden beast` number, since 2 + 5 + 9 + 1 + 1 + 629 + 4 + 9 + 6 + 0 = 666.

259116294960 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a junction number, because it is equal to n+sod(n) for n = 259116294897 and 259116294906.

It is not an unprimeable number, because it can be changed into a prime (259116294961) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10411011 + ... + 10435869.

It is an arithmetic number, because the mean of its divisors is an integer number (3750956352).

Almost surely, 2^259116294960 is an apocalyptic number.

259116294960 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 259116294960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450114762240).

259116294960 is an abundant number, since it is smaller than the sum of its proper divisors (641113229520).

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

259116294960 is a wasteful number, since it uses less digits than its factorization.

259116294960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25376 (or 25367 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 54.

The spelling of 259116294960 in words is "two hundred fifty-nine billion, one hundred sixteen million, two hundred ninety-four thousand, nine hundred sixty".