259741825120 has 24 divisors (see below), whose sum is σ = 613640062224. Its totient is φ = 103896729984.

The previous prime is 259741825103. The next prime is 259741825129. The reversal of 259741825120 is 21528147952.

259741825120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (259741825129) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 811693044 + ... + 811693363.

It is an arithmetic number, because the mean of its divisors is an integer number (25568335926).

Almost surely, 2^259741825120 is an apocalyptic number.

259741825120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

259741825120 is an abundant number, since it is smaller than the sum of its proper divisors (353898237104).

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

259741825120 is a wasteful number, since it uses less digits than its factorization.

259741825120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1623386422 (or 1623386414 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 46.

The spelling of 259741825120 in words is "two hundred fifty-nine billion, seven hundred forty-one million, eight hundred twenty-five thousand, one hundred twenty".