259923738240 has 160 divisors (see below), whose sum is σ = 928234785060. Its totient is φ = 69312983040.

The previous prime is 259923738161. The next prime is 259923738247. The reversal of 259923738240 is 42837329952.

259923738240 is a `hidden beast` number, since 2 + 599 + 2 + 3 + 7 + 3 + 8 + 2 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 250904817216 + 9018921024 = 500904^2 + 94968^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (259923738247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2455141 + ... + 2558820.

Almost surely, 2^259923738240 is an apocalyptic number.

259923738240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

259923738240 is an abundant number, since it is smaller than the sum of its proper divisors (668311046820).

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

259923738240 is an equidigital number, since it uses as much as digits as its factorization.

259923738240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5013992 (or 5013971 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 259923738240 in words is "two hundred fifty-nine billion, nine hundred twenty-three million, seven hundred thirty-eight thousand, two hundred forty".