260181442560 has 960 divisors, whose sum is σ = 963922305024. Its totient is φ = 59454259200.

The previous prime is 260181442541. The next prime is 260181442601. The reversal of 260181442560 is 65244181062.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3664527325 + ... + 3664527395.

Almost surely, 2^260181442560 is an apocalyptic number.

260181442560 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 260181442560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (481961152512).

260181442560 is an abundant number, since it is smaller than the sum of its proper divisors (703740862464).

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

260181442560 is a wasteful number, since it uses less digits than its factorization.

260181442560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The spelling of 260181442560 in words is "two hundred sixty billion, one hundred eighty-one million, four hundred forty-two thousand, five hundred sixty".