5163868800000 has 1056 divisors, whose sum is σ = 19458048355200. Its totient is φ = 1352355840000.

The previous prime is 5163868799989. The next prime is 5163868800007. The reversal of 5163868800000 is 88683615.

5163868800000 is a `hidden beast` number, since 5 + 1 + 638 + 6 + 8 + 8 + 0 + 0 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×5163868800000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5163868800007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5097599494 + ... + 5097600506.

Almost surely, 2^{5163868800000} is an apocalyptic number.

5163868800000 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 5163868800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9729024177600).

5163868800000 is an abundant number, since it is smaller than the sum of its proper divisors (14294179555200).

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

5163868800000 is an equidigital number, since it uses as much as digits as its factorization.

5163868800000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1126 (or 1082 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 5163868800000 in words is "five trillion, one hundred sixty-three billion, eight hundred sixty-eight million, eight hundred thousand".