260651631760 has 80 divisors (see below), whose sum is σ = 654060856176. Its totient is φ = 96029835264.

The previous prime is 260651631749. The next prime is 260651631767. The reversal of 260651631760 is 67136156062.

It can be written as a sum of positive squares in 8 ways, for example, as 45415019664 + 215236612096 = 213108^2 + 463936^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (260651631767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 201072 + ... + 749488.

Almost surely, 2^260651631760 is an apocalyptic number.

260651631760 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 260651631760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327030428088).

260651631760 is an abundant number, since it is smaller than the sum of its proper divisors (393409224416).

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

260651631760 is a wasteful number, since it uses less digits than its factorization.

260651631760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548900 (or 548894 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 43.

The spelling of 260651631760 in words is "two hundred sixty billion, six hundred fifty-one million, six hundred thirty-one thousand, seven hundred sixty".