259111968 has 48 divisors (see below), whose sum is σ = 715972320. Its totient is φ = 81824256.

The previous prime is 259111939. The next prime is 259112017. The reversal of 259111968 is 869111952.

259111968 is digitally balanced in base 2, 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 (48).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 69205 + ... + 72852.

It is an arithmetic number, because the mean of its divisors is an integer number (14916090).

Almost surely, 2^259111968 is an apocalyptic number.

It is an amenable number.

259111968 is an abundant number, since it is smaller than the sum of its proper divisors (456860352).

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

259111968 is a wasteful number, since it uses less digits than its factorization.

259111968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142089 (or 142081 counting only the distinct ones).

The product of its digits is 38880, while the sum is 42.

The square root of 259111968 is about 16096.9552400446. The cubic root of 259111968 is about 637.5229512690.

The spelling of 259111968 in words is "two hundred fifty-nine million, one hundred eleven thousand, nine hundred sixty-eight".