259811207040 has 512 divisors, whose sum is σ = 1035088035840. Its totient is φ = 53851299840.

The previous prime is 259811207039. The next prime is 259811207099. The reversal of 259811207040 is 40702118952.

It is a self number, because there is not a number n which added to its sum of digits gives 259811207040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 65491137 + ... + 65495103.

It is an arithmetic number, because the mean of its divisors is an integer number (2021656320).

Almost surely, 2^259811207040 is an apocalyptic number.

259811207040 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 259811207040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517544017920).

259811207040 is an abundant number, since it is smaller than the sum of its proper divisors (775276828800).

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

259811207040 is a wasteful number, since it uses less digits than its factorization.

259811207040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4450 (or 4438 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 39.

The spelling of 259811207040 in words is "two hundred fifty-nine billion, eight hundred eleven million, two hundred seven thousand, forty".