259002225680 has 80 divisors (see below), whose sum is σ = 695566445184. Its totient is φ = 88642467840.

The previous prime is 259002225667. The next prime is 259002225683. The reversal of 259002225680 is 86522200952.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (259002225683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8641532 + ... + 8671451.

Almost surely, 2^259002225680 is an apocalyptic number.

259002225680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

259002225680 is an abundant number, since it is smaller than the sum of its proper divisors (436564219504).

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

259002225680 is a wasteful number, since it uses less digits than its factorization.

259002225680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17313024 (or 17313018 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 41.

The spelling of 259002225680 in words is "two hundred fifty-nine billion, two million, two hundred twenty-five thousand, six hundred eighty".