259961751053568 has 1728 divisors, whose sum is σ = 884464080192000. Its totient is φ = 75068211068928.

The previous prime is 259961751053491. The next prime is 259961751053573. The reversal of 259961751053568 is 865350157169952.

259961751053568 is a `hidden beast` number, since 2 + 5 + 9 + 9 + 6 + 1 + 7 + 5 + 1 + 0 + 53 + 568 = 666.

259961751053568 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-2 number, since 2×259961751053568² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 259961751053496 and 259961751053505.

It is a congruent number.

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, 181410851380 + ... + 181410852812.

It is an arithmetic number, because the mean of its divisors is an integer number (511842639000).

Almost surely, 2^{259961751053568} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 259961751053568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442232040096000).

259961751053568 is an abundant number, since it is smaller than the sum of its proper divisors (624502329138432).

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

259961751053568 is a wasteful number, since it uses less digits than its factorization.

259961751053568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1657 (or 1618 counting only the distinct ones).

The product of its (nonzero) digits is 612360000, while the sum is 72.

The spelling of 259961751053568 in words is "two hundred fifty-nine trillion, nine hundred sixty-one billion, seven hundred fifty-one million, fifty-three thousand, five hundred sixty-eight".