260852078592 has 864 divisors, whose sum is σ = 958383316800. Its totient is φ = 70481166336.

The previous prime is 260852078533. The next prime is 260852078609. The reversal of 260852078592 is 295870258062.

It is a happy number.

260852078592 is a `hidden beast` number, since 2 + 60 + 8 + 520 + 7 + 8 + 59 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 463324903 + ... + 463325465.

It is an arithmetic number, because the mean of its divisors is an integer number (1109239950).

Almost surely, 2^260852078592 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 260852078592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479191658400).

260852078592 is an abundant number, since it is smaller than the sum of its proper divisors (697531238208).

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

260852078592 is an equidigital number, since it uses as much as digits as its factorization.

260852078592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 633 (or 594 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 260852078592 in words is "two hundred sixty billion, eight hundred fifty-two million, seventy-eight thousand, five hundred ninety-two".