259804772640 has 1152 divisors, whose sum is σ = 1094506463232. Its totient is φ = 54840360960.

The previous prime is 259804772639. The next prime is 259804772641. The reversal of 259804772640 is 46277408952.

259804772640 is a `hidden beast` number, since 2 + 59 + 80 + 477 + 2 + 6 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (259804772639) and next prime (259804772641).

It is not an unprimeable number, because it can be changed into a prime (259804772641) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1231302135 + ... + 1231302345.

It is an arithmetic number, because the mean of its divisors is an integer number (950092416).

Almost surely, 2^259804772640 is an apocalyptic number.

259804772640 is a gapful number since it is divisible by the number (20) 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 259804772640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (547253231616).

259804772640 is an abundant number, since it is smaller than the sum of its proper divisors (834701690592).

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

259804772640 is a wasteful number, since it uses less digits than its factorization.

259804772640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 259804772640 in words is "two hundred fifty-nine billion, eight hundred four million, seven hundred seventy-two thousand, six hundred forty".