5014106027200 has 168 divisors, whose sum is σ = 12414933406304. Its totient is φ = 1993144320000.

The previous prime is 5014106027159. The next prime is 5014106027201. The reversal of 5014106027200 is 27206014105.

It is not an unprimeable number, because it can be changed into a prime (5014106027201) 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, 187773850 + ... + 187800550.

Almost surely, 2^{5014106027200} is an apocalyptic number.

5014106027200 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 5014106027200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6207466703152).

5014106027200 is an abundant number, since it is smaller than the sum of its proper divisors (7400827379104).

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

5014106027200 is a wasteful number, since it uses less digits than its factorization.

5014106027200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27451 (or 27436 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 28.

The spelling of 5014106027200 in words is "five trillion, fourteen billion, one hundred six million, twenty-seven thousand, two hundred".