5188738951200 has 288 divisors, whose sum is σ = 19967700735360. Its totient is φ = 1145100902400.

The previous prime is 5188738951199. The next prime is 5188738951211. The reversal of 5188738951200 is 21598378815.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4837861 + ... + 5812260.

It is an arithmetic number, because the mean of its divisors is an integer number (69332294220).

Almost surely, 2^{5188738951200} is an apocalyptic number.

5188738951200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5188738951200 is an abundant number, since it is smaller than the sum of its proper divisors (14778961784160).

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

5188738951200 is a wasteful number, since it uses less digits than its factorization.

5188738951200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10650180 (or 10650167 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 57.

The spelling of 5188738951200 in words is "five trillion, one hundred eighty-eight billion, seven hundred thirty-eight million, nine hundred fifty-one thousand, two hundred".