259403561760 has 288 divisors, whose sum is σ = 1000558319040. Its totient is φ = 56171501568.

The previous prime is 259403561743. The next prime is 259403561843. The reversal of 259403561760 is 67165304952.

259403561760 is digitally balanced in base 3, 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 (48).

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 47 ways as a sum of consecutive naturals, for example, 156642 + ... + 737118.

It is an arithmetic number, because the mean of its divisors is an integer number (3474160830).

Almost surely, 2^259403561760 is an apocalyptic number.

259403561760 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 259403561760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500279159520).

259403561760 is an abundant number, since it is smaller than the sum of its proper divisors (741154757280).

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

259403561760 is a wasteful number, since it uses less digits than its factorization.

259403561760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 580528 (or 580513 counting only the distinct ones).

The product of its (nonzero) digits is 1360800, while the sum is 48.

The spelling of 259403561760 in words is "two hundred fifty-nine billion, four hundred three million, five hundred sixty-one thousand, seven hundred sixty".