259902068840064 has 768 divisors, whose sum is σ = 979341449748480. Its totient is φ = 66850930409472.

The previous prime is 259902068840039. The next prime is 259902068840069. The reversal of 259902068840064 is 460048860209952.

259902068840064 is a `hidden beast` number, since 2 + 5 + 9 + 90 + 2 + 0 + 6 + 88 + 400 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 259902068839983 and 259902068840010.

It is not an unprimeable number, because it can be changed into a prime (259902068840069) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 83605177 + ... + 86658119.

It is an arithmetic number, because the mean of its divisors is an integer number (1275184179360).

Almost surely, 2^{259902068840064} is an apocalyptic number.

259902068840064 is a gapful number since it is divisible by the number (24) 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 259902068840064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489670724874240).

259902068840064 is an abundant number, since it is smaller than the sum of its proper divisors (719439380908416).

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

259902068840064 is a wasteful number, since it uses less digits than its factorization.

259902068840064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3053019 (or 3052995 counting only the distinct ones).

The product of its (nonzero) digits is 59719680, while the sum is 63.

The spelling of 259902068840064 in words is "two hundred fifty-nine trillion, nine hundred two billion, sixty-eight million, eight hundred forty thousand, sixty-four".