4859666123200 has 168 divisors, whose sum is σ = 13667465956352. Its totient is φ = 1666001710080.

The previous prime is 4859666123141. The next prime is 4859666123201. The reversal of 4859666123200 is 23216669584.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4859666123201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 165375709 + ... + 165405091.

Almost surely, 2^{4859666123200} is an apocalyptic number.

4859666123200 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 4859666123200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6833732978176).

4859666123200 is an abundant number, since it is smaller than the sum of its proper divisors (8807799833152).

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

4859666123200 is a wasteful number, since it uses less digits than its factorization.

4859666123200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44179 (or 44164 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 52.

The spelling of 4859666123200 in words is "four trillion, eight hundred fifty-nine billion, six hundred sixty-six million, one hundred twenty-three thousand, two hundred".