4859417122560 has 1728 divisors, whose sum is σ = 23003022422016. Its totient is φ = 914374656000.

The previous prime is 4859417122447. The next prime is 4859417122589. The reversal of 4859417122560 is 652217149584.

4859417122560 is a `hidden beast` number, since 4 + 8 + 5 + 9 + 4 + 1 + 71 + 2 + 2 + 560 = 666.

It is a super-2 number, since 2×4859417122560² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4859417122497 and 4859417122506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 611166585 + ... + 611174535.

It is an arithmetic number, because the mean of its divisors is an integer number (13311934272).

Almost surely, 2^{4859417122560} is an apocalyptic number.

4859417122560 is a gapful number since it is divisible by the number (40) 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 4859417122560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11501511211008).

4859417122560 is an abundant number, since it is smaller than the sum of its proper divisors (18143605299456).

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

4859417122560 is a wasteful number, since it uses less digits than its factorization.

4859417122560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8062 (or 8045 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 4859417122560 in words is "four trillion, eight hundred fifty-nine billion, four hundred seventeen million, one hundred twenty-two thousand, five hundred sixty".