259910738496 has 224 divisors, whose sum is σ = 772485120000. Its totient is φ = 85689321984.

The previous prime is 259910738489. The next prime is 259910738513. The reversal of 259910738496 is 694837019952.

259910738496 is a `hidden beast` number, since 2 + 5 + 9 + 9 + 107 + 38 + 496 = 666.

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, 78783055 + ... + 78786353.

It is a 1-persistent number, because it is pandigital, but 2⋅259910738496 = 519821476992 is not.

Almost surely, 2^259910738496 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 259910738496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386242560000).

259910738496 is an abundant number, since it is smaller than the sum of its proper divisors (512574381504).

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

259910738496 is a wasteful number, since it uses less digits than its factorization.

259910738496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3806 (or 3790 counting only the distinct ones).

The product of its (nonzero) digits is 29393280, while the sum is 63.

The spelling of 259910738496 in words is "two hundred fifty-nine billion, nine hundred ten million, seven hundred thirty-eight thousand, four hundred ninety-six".