260168343519240 has 288 divisors, whose sum is σ = 915663359562120. Its totient is φ = 64036477919232.

The previous prime is 260168343519223. The next prime is 260168343519257. The reversal of 260168343519240 is 42915343861062.

It is a happy number.

260168343519240 is a `hidden beast` number, since 2 + 6 + 0 + 1 + 6 + 8 + 343 + 51 + 9 + 240 = 666.

It is an interprime number because it is at equal distance from previous prime (260168343519223) and next prime (260168343519257).

It can be written as a sum of positive squares in 12 ways, for example, as 2479358861604 + 257688984657636 = 1574598^2 + 16052694^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 818564994 + ... + 818882766.

Almost surely, 2^{260168343519240} is an apocalyptic number.

260168343519240 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 260168343519240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457831679781060).

260168343519240 is an abundant number, since it is smaller than the sum of its proper divisors (655495016042880).

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

260168343519240 is a wasteful number, since it uses less digits than its factorization.

260168343519240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331273 (or 331253 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 260168343519240 in words is "two hundred sixty trillion, one hundred sixty-eight billion, three hundred forty-three million, five hundred nineteen thousand, two hundred forty".