259212343008960 has 896 divisors, whose sum is σ = 1090328617082880. Its totient is φ = 57235075891200.

The previous prime is 259212343008947. The next prime is 259212343008989. The reversal of 259212343008960 is 69800343212952.

259212343008960 is a `hidden beast` number, since 2 + 5 + 9 + 2 + 123 + 430 + 0 + 89 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 259212343008897 and 259212343008906.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 47498412 + ... + 52673748.

It is an arithmetic number, because the mean of its divisors is an integer number (1216884617280).

Almost surely, 2^{259212343008960} is an apocalyptic number.

259212343008960 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 259212343008960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (545164308541440).

259212343008960 is an abundant number, since it is smaller than the sum of its proper divisors (831116274073920).

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

259212343008960 is a wasteful number, since it uses less digits than its factorization.

259212343008960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5175422 (or 5175406 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 259212343008960 in words is "two hundred fifty-nine trillion, two hundred twelve billion, three hundred forty-three million, eight thousand, nine hundred sixty".