259975360512 has 1040 divisors, whose sum is σ = 962122985472. Its totient is φ = 68319313920.

The previous prime is 259975360451. The next prime is 259975360517. The reversal of 259975360512 is 215063579952.

259975360512 is a `hidden beast` number, since 2 + 5 + 9 + 97 + 5 + 36 + 0 + 512 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (259975360517) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1655893938 + ... + 1655894094.

Almost surely, 2^259975360512 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 259975360512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (481061492736).

259975360512 is an abundant number, since it is smaller than the sum of its proper divisors (702147624960).

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

259975360512 is a wasteful number, since it uses less digits than its factorization.

259975360512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 5103000, while the sum is 54.

The spelling of 259975360512 in words is "two hundred fifty-nine billion, nine hundred seventy-five million, three hundred sixty thousand, five hundred twelve".