260189581313000 has 256 divisors, whose sum is σ = 645450628680000. Its totient is φ = 97833376972800.

The previous prime is 260189581312951. The next prime is 260189581313003. The reversal of 260189581313000 is 313185981062.

It can be written as a sum of positive squares in 32 ways, for example, as 90829705933444 + 169359875379556 = 9530462^2 + 13013834^2 .

It is not an unprimeable number, because it can be changed into a prime (260189581313003) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 80578995386 + ... + 80578998614.

Almost surely, 2^{260189581313000} is an apocalyptic number.

260189581313000 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 260189581313000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322725314340000).

260189581313000 is an abundant number, since it is smaller than the sum of its proper divisors (385261047367000).

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

260189581313000 is a wasteful number, since it uses less digits than its factorization.

260189581313000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7625 (or 7611 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 47.

The spelling of 260189581313000 in words is "two hundred sixty trillion, one hundred eighty-nine billion, five hundred eighty-one million, three hundred thirteen thousand".