259010542080 has 640 divisors, whose sum is σ = 992765030400. Its totient is φ = 63764692992.

The previous prime is 259010542079. The next prime is 259010542111. The reversal of 259010542080 is 80245010952.

259010542080 is a `hidden beast` number, since 2 + 59 + 0 + 105 + 420 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 62275041 + ... + 62279199.

It is an arithmetic number, because the mean of its divisors is an integer number (1551195360).

Almost surely, 2^259010542080 is an apocalyptic number.

259010542080 is a gapful number since it is divisible by the number (20) 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 259010542080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (496382515200).

259010542080 is an abundant number, since it is smaller than the sum of its proper divisors (733754488320).

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

259010542080 is a wasteful number, since it uses less digits than its factorization.

259010542080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4261 (or 4239 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 259010542080 in words is "two hundred fifty-nine billion, ten million, five hundred forty-two thousand, eighty".