259213362160896 has 2304 divisors, whose sum is σ = 974546496000000. Its totient is φ = 66779023933440.

The previous prime is 259213362160859. The next prime is 259213362160903. The reversal of 259213362160896 is 698061263312952.

It is a happy number.

259213362160896 is a `hidden beast` number, since 2 + 5 + 9 + 2 + 1 + 336 + 216 + 0 + 89 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 207536718480 + ... + 207536719728.

It is an arithmetic number, because the mean of its divisors is an integer number (422980250000).

Almost surely, 2^{259213362160896} is an apocalyptic number.

259213362160896 is a gapful number since it is divisible by the number (26) 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 259213362160896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487273248000000).

259213362160896 is an abundant number, since it is smaller than the sum of its proper divisors (715333133839104).

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

259213362160896 is a wasteful number, since it uses less digits than its factorization.

259213362160896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1617 (or 1597 counting only the distinct ones).

The product of its (nonzero) digits is 50388480, while the sum is 63.

The spelling of 259213362160896 in words is "two hundred fifty-nine trillion, two hundred thirteen billion, three hundred sixty-two million, one hundred sixty thousand, eight hundred ninety-six".