259554455952 has 160 divisors (see below), whose sum is σ = 751655224320. Its totient is φ = 76484943360.

The previous prime is 259554455893. The next prime is 259554456023.

259554455952 is nontrivially palindromic in base 10.

259554455952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 64837983 + ... + 64841985.

It is an arithmetic number, because the mean of its divisors is an integer number (4697845152).

Almost surely, 2^259554455952 is an apocalyptic number.

259554455952 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 259554455952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375827612160).

259554455952 is an abundant number, since it is smaller than the sum of its proper divisors (492100768368).

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

259554455952 is a wasteful number, since it uses less digits than its factorization.

259554455952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7381 (or 7375 counting only the distinct ones).

The product of its digits is 81000000, while the sum is 60.

The spelling of 259554455952 in words is "two hundred fifty-nine billion, five hundred fifty-four million, four hundred fifty-five thousand, nine hundred fifty-two".