260844345072 has 240 divisors, whose sum is σ = 760884736768. Its totient is φ = 83328860160.

The previous prime is 260844345071. The next prime is 260844345131. The reversal of 260844345072 is 270543448062.

It is a happy number.

260844345072 is a `hidden beast` number, since 2 + 60 + 84 + 4 + 3 + 4 + 507 + 2 = 666.

It is a super-2 number, since 2×260844345072² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (260844345071) 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, 238649358 + ... + 238650450.

Almost surely, 2^260844345072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 260844345072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380442368384).

260844345072 is an abundant number, since it is smaller than the sum of its proper divisors (500040391696).

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

260844345072 is a wasteful number, since it uses less digits than its factorization.

260844345072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1608 (or 1599 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 45.

The spelling of 260844345072 in words is "two hundred sixty billion, eight hundred forty-four million, three hundred forty-five thousand, seventy-two".