259596672896016 has 45 divisors (see below), whose sum is σ = 726510674269471. Its totient is φ = 86532159850656.

The previous prime is 259596672896009. The next prime is 259596672896021. The reversal of 259596672896016 is 610698276695952.

The square root of 259596672896016 is 16112004.

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

259596672896016 is a `hidden beast` number, since 2 + 5 + 9 + 596 + 6 + 7 + 2 + 8 + 9 + 6 + 0 + 16 = 666.

It is a super-2 number, since 2×259596672896016² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 192672715 + ... + 194015381.

Almost surely, 2^{259596672896016} is an apocalyptic number.

259596672896016 is the 16112004-th square number.

It is an amenable number.

259596672896016 is an abundant number, since it is smaller than the sum of its proper divisors (466914001373455).

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

259596672896016 is an frugal number, since it uses more digits than its factorization.

259596672896016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2685348 (or 1342672 counting only the distinct ones).

The product of its (nonzero) digits is 5290790400, while the sum is 81.

The spelling of 259596672896016 in words is "two hundred fifty-nine trillion, five hundred ninety-six billion, six hundred seventy-two million, eight hundred ninety-six thousand, sixteen".