259640131968 has 640 divisors, whose sum is σ = 936491212800. Its totient is φ = 69827235840.

The previous prime is 259640131967. The next prime is 259640131973. The reversal of 259640131968 is 869131046952.

259640131968 is a `hidden beast` number, since 2 + 596 + 40 + 1 + 3 + 1 + 9 + 6 + 8 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (259640131967) 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, 83243113 + ... + 83246231.

It is an arithmetic number, because the mean of its divisors is an integer number (1463267520).

Almost surely, 2^259640131968 is an apocalyptic number.

259640131968 is a gapful number since it is divisible by the number (28) 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 259640131968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468245606400).

259640131968 is an abundant number, since it is smaller than the sum of its proper divisors (676851080832).

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

259640131968 is a wasteful number, since it uses less digits than its factorization.

259640131968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3220 (or 3199 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 259640131968 in words is "two hundred fifty-nine billion, six hundred forty million, one hundred thirty-one thousand, nine hundred sixty-eight".