260824872960 has 960 divisors, whose sum is σ = 979510371840. Its totient is φ = 66328657920.

The previous prime is 260824872923. The next prime is 260824872989. The reversal of 260824872960 is 69278428062.

260824872960 is a `hidden beast` number, since 2 + 6 + 0 + 82 + 487 + 29 + 60 = 666.

260824872960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×260824872960² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 260824872897 and 260824872906.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2532280269 + ... + 2532280371.

It is an arithmetic number, because the mean of its divisors is an integer number (1020323304).

Almost surely, 2^260824872960 is an apocalyptic number.

260824872960 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 260824872960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489755185920).

260824872960 is an abundant number, since it is smaller than the sum of its proper divisors (718685498880).

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

260824872960 is a wasteful number, since it uses less digits than its factorization.

260824872960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 260824872960 in words is "two hundred sixty billion, eight hundred twenty-four million, eight hundred seventy-two thousand, nine hundred sixty".