259852081009536 has 768 divisors, whose sum is σ = 816895459860480. Its totient is φ = 79044083712000.

The previous prime is 259852081009519. The next prime is 259852081009537. The reversal of 259852081009536 is 635900180258952.

259852081009536 is a `hidden beast` number, since 2 + 5 + 9 + 8 + 520 + 8 + 10 + 0 + 95 + 3 + 6 = 666.

259852081009536 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (259852081009537) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20954116936 + ... + 20954129336.

It is an arithmetic number, because the mean of its divisors is an integer number (1063665963360).

Almost surely, 2^{259852081009536} 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 259852081009536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408447729930240).

259852081009536 is an abundant number, since it is smaller than the sum of its proper divisors (557043378850944).

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

259852081009536 is a wasteful number, since it uses less digits than its factorization.

259852081009536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12835 (or 12820 counting only the distinct ones).

The product of its (nonzero) digits is 46656000, while the sum is 63.

The spelling of 259852081009536 in words is "two hundred fifty-nine trillion, eight hundred fifty-two billion, eighty-one million, nine thousand, five hundred thirty-six".