259419907540 has 48 divisors (see below), whose sum is σ = 548528246784. Its totient is φ = 103055456000.

The previous prime is 259419907531. The next prime is 259419907541. The reversal of 259419907540 is 45709914952.

It is a happy number.

259419907540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (55) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (259419907541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3810600 + ... + 3878080.

It is an arithmetic number, because the mean of its divisors is an integer number (11427671808).

Almost surely, 2^259419907540 is an apocalyptic number.

259419907540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

259419907540 is an abundant number, since it is smaller than the sum of its proper divisors (289108339244).

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

259419907540 is a wasteful number, since it uses less digits than its factorization.

259419907540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68808 (or 68806 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 55.

The spelling of 259419907540 in words is "two hundred fifty-nine billion, four hundred nineteen million, nine hundred seven thousand, five hundred forty".