259047105440 has 192 divisors, whose sum is σ = 650133485568. Its totient is φ = 97367961600.

The previous prime is 259047105437. The next prime is 259047105491. The reversal of 259047105440 is 44501740952.

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, 115800002 + ... + 115802238.

It is an arithmetic number, because the mean of its divisors is an integer number (3386111904).

Almost surely, 2^259047105440 is an apocalyptic number.

259047105440 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 259047105440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325066742784).

259047105440 is an abundant number, since it is smaller than the sum of its proper divisors (391086380128).

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

259047105440 is a wasteful number, since it uses less digits than its factorization.

259047105440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2951 (or 2943 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 41.

The spelling of 259047105440 in words is "two hundred fifty-nine billion, forty-seven million, one hundred five thousand, four hundred forty".