259380172720656 has 315 divisors, whose sum is σ = 815968450239357. Its totient is φ = 79802326431360.

The previous prime is 259380172720639. The next prime is 259380172720673. The reversal of 259380172720656 is 656027271083952.

The square root of 259380172720656 is 16105284.

It is a perfect power (a square), and thus also a powerful number.

259380172720656 is a `hidden beast` number, since 2 + 5 + 9 + 380 + 172 + 7 + 20 + 65 + 6 = 666.

259380172720656 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (259380172720639) and next prime (259380172720673).

It can be written as a sum of positive squares in only one way, i.e., 38369848035600 + 221010324685056 = 6194340^2 + 14866416^2 .

It is a junction number, because it is equal to n+sod(n) for n = 259380172720593 and 259380172720602.

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 22611813001 + ... + 22611824471.

Almost surely, 2^{259380172720656} is an apocalyptic number.

259380172720656 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

259380172720656 is the 16105284-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 259380172720656

259380172720656 is an abundant number, since it is smaller than the sum of its proper divisors (556588277518701).

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

259380172720656 is an frugal number, since it uses more digits than its factorization.

259380172720656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22994 (or 11489 counting only the distinct ones).

The product of its (nonzero) digits is 76204800, while the sum is 63.

The spelling of 259380172720656 in words is "two hundred fifty-nine trillion, three hundred eighty billion, one hundred seventy-two million, seven hundred twenty thousand, six hundred fifty-six".