260857991520 has 648 divisors, whose sum is σ = 1070272384272. Its totient is φ = 57686307840.

The previous prime is 260857991453. The next prime is 260857991521. The reversal of 260857991520 is 25199758062.

260857991520 is a `hidden beast` number, since 2 + 60 + 8 + 57 + 9 + 9 + 1 + 520 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (260857991521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 67806237 + ... + 67810083.

It is an arithmetic number, because the mean of its divisors is an integer number (1651654914).

Almost surely, 2^260857991520 is an apocalyptic number.

260857991520 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 260857991520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535136192136).

260857991520 is an abundant number, since it is smaller than the sum of its proper divisors (809414392752).

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

260857991520 is a wasteful number, since it uses less digits than its factorization.

260857991520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3944 (or 3895 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 54.

The spelling of 260857991520 in words is "two hundred sixty billion, eight hundred fifty-seven million, nine hundred ninety-one thousand, five hundred twenty".