259840248864 has 192 divisors, whose sum is σ = 792025952256. Its totient is φ = 73056190464.

The previous prime is 259840248839. The next prime is 259840248901. The reversal of 259840248864 is 468842048952.

It is a junction number, because it is equal to n+sod(n) for n = 259840248798 and 259840248807.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14325369 + ... + 14343495.

It is an arithmetic number, because the mean of its divisors is an integer number (4125135168).

Almost surely, 2^259840248864 is an apocalyptic number.

259840248864 is a gapful number since it is divisible by the number (24) 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 259840248864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396012976128).

259840248864 is an abundant number, since it is smaller than the sum of its proper divisors (532185703392).

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

259840248864 is a wasteful number, since it uses less digits than its factorization.

259840248864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18487 (or 18479 counting only the distinct ones).

The product of its (nonzero) digits is 35389440, while the sum is 60.

The spelling of 259840248864 in words is "two hundred fifty-nine billion, eight hundred forty million, two hundred forty-eight thousand, eight hundred sixty-four".