260506997856 has 720 divisors, whose sum is σ = 961381658160. Its totient is φ = 68767211520.

The previous prime is 260506997843. The next prime is 260506997887. The reversal of 260506997856 is 658799605062.

260506997856 is a `hidden beast` number, since 2 + 6 + 0 + 506 + 9 + 9 + 78 + 56 = 666.

260506997856 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 260506997793 and 260506997802.

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 119 ways as a sum of consecutive naturals, for example, 98937916 + ... + 98940548.

It is an arithmetic number, because the mean of its divisors is an integer number (1335252303).

Almost surely, 2^260506997856 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 260506997856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (480690829080).

260506997856 is an abundant number, since it is smaller than the sum of its proper divisors (700874660304).

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

260506997856 is a wasteful number, since it uses less digits than its factorization.

260506997856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2729 (or 2705 counting only the distinct ones).

The product of its (nonzero) digits is 48988800, while the sum is 63.

The spelling of 260506997856 in words is "two hundred sixty billion, five hundred six million, nine hundred ninety-seven thousand, eight hundred fifty-six".