259543362240 has 896 divisors, whose sum is σ = 989746560000. Its totient is φ = 64631623680.

The previous prime is 259543362229. The next prime is 259543362241. The reversal of 259543362240 is 42263345952.

259543362240 is a `hidden beast` number, since 2 + 5 + 9 + 5 + 43 + 362 + 240 = 666.

It is a super-3 number, since 3×259543362240³ (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (259543362241) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1741901686 + ... + 1741901834.

Almost surely, 2^259543362240 is an apocalyptic number.

259543362240 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 259543362240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494873280000).

259543362240 is an abundant number, since it is smaller than the sum of its proper divisors (730203197760).

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

259543362240 is a wasteful number, since it uses less digits than its factorization.

259543362240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 45.

The spelling of 259543362240 in words is "two hundred fifty-nine billion, five hundred forty-three million, three hundred sixty-two thousand, two hundred forty".