259121479680 has 640 divisors, whose sum is σ = 1054950336000. Its totient is φ = 59114520576.

The previous prime is 259121479583. The next prime is 259121479681. The reversal of 259121479680 is 86974121952.

It is a happy number.

259121479680 is a `hidden beast` number, since 2 + 5 + 91 + 2 + 1 + 479 + 6 + 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 (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (259121479681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 495451899 + ... + 495452421.

It is an arithmetic number, because the mean of its divisors is an integer number (1648359900).

Almost surely, 2^259121479680 is an apocalyptic number.

259121479680 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 259121479680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (527475168000).

259121479680 is an abundant number, since it is smaller than the sum of its proper divisors (795828856320).

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

259121479680 is an frugal number, since it uses more digits than its factorization.

259121479680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 582 (or 540 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 259121479680 in words is "two hundred fifty-nine billion, one hundred twenty-one million, four hundred seventy-nine thousand, six hundred eighty".