259424040356856 has 192 divisors, whose sum is σ = 743595577920000. Its totient is φ = 81537347485440.

The previous prime is 259424040356851. The next prime is 259424040356863. The reversal of 259424040356856 is 658653040424952.

259424040356856 is a `hidden beast` number, since 2 + 5 + 9 + 4 + 24 + 0 + 40 + 3 + 568 + 5 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 259424040356793 and 259424040356802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (259424040356851) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 778068870 + ... + 778402218.

It is an arithmetic number, because the mean of its divisors is an integer number (3872893635000).

Almost surely, 2^{259424040356856} 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 259424040356856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371797788960000).

259424040356856 is an abundant number, since it is smaller than the sum of its proper divisors (484171537563144).

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

259424040356856 is a wasteful number, since it uses less digits than its factorization.

259424040356856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340074 (or 340067 counting only the distinct ones).

The product of its (nonzero) digits is 248832000, while the sum is 63.

The spelling of 259424040356856 in words is "two hundred fifty-nine trillion, four hundred twenty-four billion, forty million, three hundred fifty-six thousand, eight hundred fifty-six".