259260831720 has 1152 divisors, whose sum is σ = 1045047744000. Its totient is φ = 55015833600.

The previous prime is 259260831677. The next prime is 259260831733. The reversal of 259260831720 is 27138062952.

259260831720 is a `hidden beast` number, since 2 + 5 + 9 + 2 + 608 + 3 + 17 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 3281782641 + ... + 3281782719.

It is an arithmetic number, because the mean of its divisors is an integer number (907159500).

Almost surely, 2^259260831720 is an apocalyptic number.

259260831720 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 259260831720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522523872000).

259260831720 is an abundant number, since it is smaller than the sum of its proper divisors (785786912280).

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

259260831720 is a wasteful number, since it uses less digits than its factorization.

259260831720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 259260831720 in words is "two hundred fifty-nine billion, two hundred sixty million, eight hundred thirty-one thousand, seven hundred twenty".