259934552064 has 640 divisors, whose sum is σ = 879249016800. Its totient is φ = 75804180480.

The previous prime is 259934552063. The next prime is 259934552071. The reversal of 259934552064 is 460255439952.

259934552064 is a `hidden beast` number, since 2 + 5 + 99 + 345 + 5 + 206 + 4 = 666.

259934552064 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 259934552064.

It is not an unprimeable number, because it can be changed into a prime (259934552063) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 846692199 + ... + 846692505.

Almost surely, 2^259934552064 is an apocalyptic number.

259934552064 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 259934552064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439624508400).

259934552064 is an abundant number, since it is smaller than the sum of its proper divisors (619314464736).

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

259934552064 is an equidigital number, since it uses as much as digits as its factorization.

259934552064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 11664000, while the sum is 54.

The spelling of 259934552064 in words is "two hundred fifty-nine billion, nine hundred thirty-four million, five hundred fifty-two thousand, sixty-four".