259989549120 has 1344 divisors, whose sum is σ = 1165211873280. Its totient is φ = 53801459712.

The previous prime is 259989549107. The next prime is 259989549161. The reversal of 259989549120 is 21945989952.

259989549120 is a `hidden beast` number, since 2 + 5 + 9 + 9 + 89 + 549 + 1 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 237867294 + ... + 237868386.

It is an arithmetic number, because the mean of its divisors is an integer number (866973120).

Almost surely, 2^259989549120 is an apocalyptic number.

259989549120 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 259989549120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (582605936640).

259989549120 is an abundant number, since it is smaller than the sum of its proper divisors (905222324160).

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

259989549120 is a wasteful number, since it uses less digits than its factorization.

259989549120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1174 (or 1152 counting only the distinct ones).

The product of its (nonzero) digits is 20995200, while the sum is 63.

The spelling of 259989549120 in words is "two hundred fifty-nine billion, nine hundred eighty-nine million, five hundred forty-nine thousand, one hundred twenty".