259119080 has 128 divisors (see below), whose sum is σ = 666178560. Its totient is φ = 90604800.

The previous prime is 259119043. The next prime is 259119101. The reversal of 259119080 is 80911952.

259119080 = 40² + 41² + ... + 919².

It is a self number, because there is not a number n which added to its sum of digits gives 259119080.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1650362 + ... + 1650518.

It is an arithmetic number, because the mean of its divisors is an integer number (5204520).

Almost surely, 2^259119080 is an apocalyptic number.

259119080 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 259119080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333089280).

259119080 is an abundant number, since it is smaller than the sum of its proper divisors (407059480).

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

259119080 is a wasteful number, since it uses less digits than its factorization.

259119080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 35.

The square root of 259119080 is about 16097.1761498718. The cubic root of 259119080 is about 637.5287840393.

The spelling of 259119080 in words is "two hundred fifty-nine million, one hundred nineteen thousand, eighty".