259005180056 has 32 divisors (see below), whose sum is σ = 555109443840. Its totient is φ = 110982551328.

The previous prime is 259005180053. The next prime is 259005180067. The reversal of 259005180056 is 650081500952.

259005180056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 259005179995 and 259005180022.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (259005180053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 88676 + ... + 725171.

It is an arithmetic number, because the mean of its divisors is an integer number (17347170120).

Almost surely, 2^259005180056 is an apocalyptic number.

It is an amenable number.

259005180056 is an abundant number, since it is smaller than the sum of its proper divisors (296104263784).

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

259005180056 is a wasteful number, since it uses less digits than its factorization.

259005180056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 819543 (or 819539 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 41.

The spelling of 259005180056 in words is "two hundred fifty-nine billion, five million, one hundred eighty thousand, fifty-six".