259354441472 has 288 divisors, whose sum is σ = 661196390400. Its totient is φ = 98917023744.

The previous prime is 259354441439. The next prime is 259354441483. The reversal of 259354441472 is 274144453952.

It is a happy number.

It is a super-2 number, since 2×259354441472² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 259354441472.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 62357729 + ... + 62361887.

It is an arithmetic number, because the mean of its divisors is an integer number (2295820800).

Almost surely, 2^259354441472 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 259354441472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330598195200).

259354441472 is an abundant number, since it is smaller than the sum of its proper divisors (401841948928).

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

259354441472 is a wasteful number, since it uses less digits than its factorization.

259354441472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4311 (or 4297 counting only the distinct ones).

The product of its digits is 4838400, while the sum is 50.

The spelling of 259354441472 in words is "two hundred fifty-nine billion, three hundred fifty-four million, four hundred forty-one thousand, four hundred seventy-two".