259695266216960 has 704 divisors, whose sum is σ = 745125812895744. Its totient is φ = 84974070988800.

The previous prime is 259695266216927. The next prime is 259695266216989. The reversal of 259695266216960 is 69612662596952.

It is a Smith number, since the sum of its digits (74) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 58188495689 + ... + 58188500151.

Almost surely, 2^{259695266216960} is an apocalyptic number.

259695266216960 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 259695266216960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372562906447872).

259695266216960 is an abundant number, since it is smaller than the sum of its proper divisors (485430546678784).

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

259695266216960 is a wasteful number, since it uses less digits than its factorization.

259695266216960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5240 (or 5222 counting only the distinct ones).

The product of its (nonzero) digits is 1133740800, while the sum is 74.

The spelling of 259695266216960 in words is "two hundred fifty-nine trillion, six hundred ninety-five billion, two hundred sixty-six million, two hundred sixteen thousand, nine hundred sixty".