259381973504160 has 576 divisors, whose sum is σ = 959629003770528. Its totient is φ = 63419864481792.

The previous prime is 259381973504141. The next prime is 259381973504207. The reversal of 259381973504160 is 61405379183952.

259381973504160 is a `hidden beast` number, since 2 + 5 + 9 + 3 + 81 + 97 + 3 + 50 + 416 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 61480214628624 + 197901758875536 = 7840932^2 + 14067756^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3539709442 + ... + 3539782718.

It is a 2-persistent number, because it is pandigital, and so is 2⋅259381973504160 = 518763947008320, but 3⋅259381973504160 = 778145920512480 is not.

Almost surely, 2^{259381973504160} is an apocalyptic number.

259381973504160 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 259381973504160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479814501885264).

259381973504160 is an abundant number, since it is smaller than the sum of its proper divisors (700247030266368).

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

259381973504160 is a wasteful number, since it uses less digits than its factorization.

259381973504160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74577 (or 74566 counting only the distinct ones).

The product of its (nonzero) digits is 48988800, while the sum is 63.

The spelling of 259381973504160 in words is "two hundred fifty-nine trillion, three hundred eighty-one billion, nine hundred seventy-three million, five hundred four thousand, one hundred sixty".