259259283360 has 2304 divisors, whose sum is σ = 1274179092480. Its totient is φ = 47656304640.

The previous prime is 259259283329. The next prime is 259259283373. The reversal of 259259283360 is 63382952952.

259259283360 is a `hidden beast` number, since 2 + 5 + 9 + 259 + 28 + 3 + 360 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 259259283297 and 259259283306.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 2041411617 + ... + 2041411743.

It is an arithmetic number, because the mean of its divisors is an integer number (553029120).

Almost surely, 2^259259283360 is an apocalyptic number.

259259283360 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 259259283360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (637089546240).

259259283360 is an abundant number, since it is smaller than the sum of its proper divisors (1014919809120).

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

259259283360 is a wasteful number, since it uses less digits than its factorization.

259259283360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 6998400, while the sum is 54.

The spelling of 259259283360 in words is "two hundred fifty-nine billion, two hundred fifty-nine million, two hundred eighty-three thousand, three hundred sixty".