259409565120 has 112 divisors (see below), whose sum is σ = 823988809728. Its totient is φ = 69145359360.

The previous prime is 259409565047. The next prime is 259409565139. The reversal of 259409565120 is 21565904952.

It is a super-2 number, since 2×259409565120² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 259409565120.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 2160097 + ... + 2277023.

It is an arithmetic number, because the mean of its divisors is an integer number (7357042944).

Almost surely, 2^259409565120 is an apocalyptic number.

259409565120 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 259409565120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411994404864).

259409565120 is an abundant number, since it is smaller than the sum of its proper divisors (564579244608).

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

259409565120 is a wasteful number, since it uses less digits than its factorization.

259409565120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119258 (or 119248 counting only the distinct ones).

The product of its (nonzero) digits is 972000, while the sum is 48.

The spelling of 259409565120 in words is "two hundred fifty-nine billion, four hundred nine million, five hundred sixty-five thousand, one hundred twenty".