259959959952 has 320 divisors, whose sum is σ = 864808648704. Its totient is φ = 65331141120.

The previous prime is 259959959951. The next prime is 259959960019.

259959959952 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (259959959951) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16997653 + ... + 17012939.

Almost surely, 2^259959959952 is an apocalyptic number.

259959959952 is a gapful number since it is divisible by the number (22) 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 259959959952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432404324352).

259959959952 is an abundant number, since it is smaller than the sum of its proper divisors (604848688752).

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

259959959952 is a wasteful number, since it uses less digits than its factorization.

259959959952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15466 (or 15460 counting only the distinct ones).

The product of its digits is 1328602500, while the sum is 78.

The spelling of 259959959952 in words is "two hundred fifty-nine billion, nine hundred fifty-nine million, nine hundred fifty-nine thousand, nine hundred fifty-two".