859960556224 has 448 divisors, whose sum is σ = 2343326588928. Its totient is φ = 302815641600.

The previous prime is 859960556201. The next prime is 859960556227. The reversal of 859960556224 is 422655069958.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×859960556224² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (859960556227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 355795464 + ... + 355797880.

Almost surely, 2^859960556224 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 859960556224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1171663294464).

859960556224 is an abundant number, since it is smaller than the sum of its proper divisors (1483366032704).

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

859960556224 is a wasteful number, since it uses less digits than its factorization.

859960556224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2632 (or 2622 counting only the distinct ones).

The product of its (nonzero) digits is 46656000, while the sum is 61.

The spelling of 859960556224 in words is "eight hundred fifty-nine billion, nine hundred sixty million, five hundred fifty-six thousand, two hundred twenty-four".