259781667840 has 528 divisors, whose sum is σ = 970756506720. Its totient is φ = 64019496960.

The previous prime is 259781667839. The next prime is 259781667853. The reversal of 259781667840 is 48766187952.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35892702 + ... + 35899938.

It is an arithmetic number, because the mean of its divisors is an integer number (1838553990).

Almost surely, 2^259781667840 is an apocalyptic number.

259781667840 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 259781667840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (485378253360).

259781667840 is an abundant number, since it is smaller than the sum of its proper divisors (710974838880).

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

259781667840 is a wasteful number, since it uses less digits than its factorization.

259781667840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7328 (or 7307 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 63.

The spelling of 259781667840 in words is "two hundred fifty-nine billion, seven hundred eighty-one million, six hundred sixty-seven thousand, eight hundred forty".