5122185868800 has 2880 divisors, whose sum is σ = 25208857529856. Its totient is φ = 958699929600.

The previous prime is 5122185868777. The next prime is 5122185868801. The reversal of 5122185868800 is 88685812215.

5122185868800 is a `hidden beast` number, since 51 + 2 + 2 + 1 + 8 + 586 + 8 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5122185868801) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 4958553084 + ... + 4958554116.

Almost surely, 2^{5122185868800} is an apocalyptic number.

5122185868800 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 5122185868800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12604428764928).

5122185868800 is an abundant number, since it is smaller than the sum of its proper divisors (20086671661056).

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

5122185868800 is a wasteful number, since it uses less digits than its factorization.

5122185868800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1141 (or 1117 counting only the distinct ones).

The product of its (nonzero) digits is 2457600, while the sum is 54.

The spelling of 5122185868800 in words is "five trillion, one hundred twenty-two billion, one hundred eighty-five million, eight hundred sixty-eight thousand, eight hundred".