260962488960 has 256 divisors, whose sum is σ = 876344832000. Its totient is φ = 65871138816.

The previous prime is 260962488953. The next prime is 260962488961. The reversal of 260962488960 is 69884269062.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 260962488894 and 260962488903.

It is not an unprimeable number, because it can be changed into a prime (260962488961) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57745581 + ... + 57750099.

It is an arithmetic number, because the mean of its divisors is an integer number (3423222000).

Almost surely, 2^260962488960 is an apocalyptic number.

260962488960 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 260962488960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (438172416000).

260962488960 is an abundant number, since it is smaller than the sum of its proper divisors (615382343040).

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

260962488960 is a wasteful number, since it uses less digits than its factorization.

260962488960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6143 (or 6131 counting only the distinct ones).

The product of its (nonzero) digits is 17915904, while the sum is 60.

The spelling of 260962488960 in words is "two hundred sixty billion, nine hundred sixty-two million, four hundred eighty-eight thousand, nine hundred sixty".