259471182480 has 320 divisors, whose sum is σ = 853297528320. Its totient is φ = 65088258048.

The previous prime is 259471182473. The next prime is 259471182499. The reversal of 259471182480 is 84281174952.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 184152016 + ... + 184153424.

It is an arithmetic number, because the mean of its divisors is an integer number (2666554776).

Almost surely, 2^259471182480 is an apocalyptic number.

259471182480 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 259471182480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426648764160).

259471182480 is an abundant number, since it is smaller than the sum of its proper divisors (593826345840).

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

259471182480 is a wasteful number, since it uses less digits than its factorization.

259471182480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1978 (or 1972 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 51.

The spelling of 259471182480 in words is "two hundred fifty-nine billion, four hundred seventy-one million, one hundred eighty-two thousand, four hundred eighty".