259688540160 has 1152 divisors, whose sum is σ = 1130742063360. Its totient is φ = 55802068992.

The previous prime is 259688540131. The next prime is 259688540201. The reversal of 259688540160 is 61045886952.

259688540160 is a `hidden beast` number, since 2 + 5 + 9 + 6 + 88 + 540 + 16 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 259688540097 and 259688540106.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 296109642 + ... + 296110518.

It is an arithmetic number, because the mean of its divisors is an integer number (981546930).

Almost surely, 2^259688540160 is an apocalyptic number.

259688540160 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 259688540160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (565371031680).

259688540160 is an abundant number, since it is smaller than the sum of its proper divisors (871053523200).

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

259688540160 is an equidigital number, since it uses as much as digits as its factorization.

259688540160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 943 (or 911 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 259688540160 in words is "two hundred fifty-nine billion, six hundred eighty-eight million, five hundred forty thousand, one hundred sixty".