259438874016 has 96 divisors (see below), whose sum is σ = 803423674368. Its totient is φ = 71734245120.

The previous prime is 259438873997. The next prime is 259438874017. The reversal of 259438874016 is 610478834952.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (259438874017) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6206100 + ... + 6247763.

It is an arithmetic number, because the mean of its divisors is an integer number (8368996608).

It is a 1-persistent number, because it is pandigital, but 2⋅259438874016 = 518877748032 is not.

Almost surely, 2^259438874016 is an apocalyptic number.

It is an amenable number.

259438874016 is an abundant number, since it is smaller than the sum of its proper divisors (543984800352).

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

259438874016 is a wasteful number, since it uses less digits than its factorization.

259438874016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12453914 (or 12453906 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 57.

The spelling of 259438874016 in words is "two hundred fifty-nine billion, four hundred thirty-eight million, eight hundred seventy-four thousand, sixteen".