259702122240 has 720 divisors, whose sum is σ = 1030634722656. Its totient is φ = 61909401600.

The previous prime is 259702122233. The next prime is 259702122263. The reversal of 259702122240 is 42221207952.

It is a happy number.

259702122240 is a `hidden beast` number, since 2 + 597 + 0 + 2 + 1 + 2 + 22 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 259702122195 and 259702122204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 69567414 + ... + 69571146.

Almost surely, 2^259702122240 is an apocalyptic number.

259702122240 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 259702122240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (515317361328).

259702122240 is an abundant number, since it is smaller than the sum of its proper divisors (770932600416).

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

259702122240 is a wasteful number, since it uses less digits than its factorization.

259702122240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3838 (or 3815 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 259702122240 in words is "two hundred fifty-nine billion, seven hundred two million, one hundred twenty-two thousand, two hundred forty".