260762890752 has 840 divisors, whose sum is σ = 971102608476. Its totient is φ = 66913910784.

The previous prime is 260762890709. The next prime is 260762890763. The reversal of 260762890752 is 257098267062.

260762890752 is a `hidden beast` number, since 2 + 6 + 0 + 7 + 628 + 9 + 0 + 7 + 5 + 2 = 666.

260762890752 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 260491827456 + 271063296 = 510384^2 + 16464^2 .

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 83 ways as a sum of consecutive naturals, for example, 7047645678 + ... + 7047645714.

Almost surely, 2^260762890752 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 260762890752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (485551304238).

260762890752 is an abundant number, since it is smaller than the sum of its proper divisors (710339717724).

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

260762890752 is an frugal number, since it uses more digits than its factorization.

260762890752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 260762890752 in words is "two hundred sixty billion, seven hundred sixty-two million, eight hundred ninety thousand, seven hundred fifty-two".