260613897768 has 192 divisors, whose sum is σ = 863524945920. Its totient is φ = 72059025600.

The previous prime is 260613897767. The next prime is 260613897773. The reversal of 260613897768 is 867798316062.

260613897768 is a `hidden beast` number, since 2 + 6 + 0 + 613 + 8 + 9 + 7 + 7 + 6 + 8 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (260613897767) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 112953 + ... + 730743.

It is an arithmetic number, because the mean of its divisors is an integer number (4497525760).

Almost surely, 2^260613897768 is an apocalyptic number.

260613897768 is a gapful number since it is divisible by the number (28) 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 260613897768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431762472960).

260613897768 is an abundant number, since it is smaller than the sum of its proper divisors (602911048152).

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

260613897768 is a wasteful number, since it uses less digits than its factorization.

260613897768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 617850 (or 617834 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 63.

The spelling of 260613897768 in words is "two hundred sixty billion, six hundred thirteen million, eight hundred ninety-seven thousand, seven hundred sixty-eight".