259857823680 has 784 divisors, whose sum is σ = 1141945904064. Its totient is φ = 54822666240.

The previous prime is 259857823663. The next prime is 259857823711. The reversal of 259857823680 is 86328758952.

259857823680 is a `hidden beast` number, since 2 + 59 + 8 + 578 + 2 + 3 + 6 + 8 + 0 = 666.

259857823680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

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 111 ways as a sum of consecutive naturals, for example, 21222360 + ... + 21234600.

Almost surely, 2^259857823680 is an apocalyptic number.

259857823680 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 259857823680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (570972952032).

259857823680 is an abundant number, since it is smaller than the sum of its proper divisors (882088080384).

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

259857823680 is a wasteful number, since it uses less digits than its factorization.

259857823680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12296 (or 12271 counting only the distinct ones).

The product of its (nonzero) digits is 58060800, while the sum is 63.

The spelling of 259857823680 in words is "two hundred fifty-nine billion, eight hundred fifty-seven million, eight hundred twenty-three thousand, six hundred eighty".