5066616787200 has 3456 divisors, whose sum is σ = 22073787187200. Its totient is φ = 1128923136000.

The previous prime is 5066616787187. The next prime is 5066616787229. The reversal of 5066616787200 is 27876166605.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 85874860771 + ... + 85874860829.

It is an arithmetic number, because the mean of its divisors is an integer number (6387091200).

Almost surely, 2^{5066616787200} is an apocalyptic number.

5066616787200 is a gapful number since it is divisible by the number (50) 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 5066616787200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11036893593600).

5066616787200 is an abundant number, since it is smaller than the sum of its proper divisors (17007170400000).

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

5066616787200 is a wasteful number, since it uses less digits than its factorization.

5066616787200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 5066616787200 in words is "five trillion, sixty-six billion, six hundred sixteen million, seven hundred eighty-seven thousand, two hundred".