260633523360 has 384 divisors, whose sum is σ = 1005548027904. Its totient is φ = 55442534400.

The previous prime is 260633523331. The next prime is 260633523361. The reversal of 260633523360 is 63325336062.

It is not an unprimeable number, because it can be changed into a prime (260633523361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2813785 + ... + 2904935.

It is an arithmetic number, because the mean of its divisors is an integer number (2618614656).

Almost surely, 2^260633523360 is an apocalyptic number.

260633523360 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 260633523360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502774013952).

260633523360 is an abundant number, since it is smaller than the sum of its proper divisors (744914504544).

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

260633523360 is a wasteful number, since it uses less digits than its factorization.

260633523360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91236 (or 91228 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 39.

The spelling of 260633523360 in words is "two hundred sixty billion, six hundred thirty-three million, five hundred twenty-three thousand, three hundred sixty".