5127657696200 has 144 divisors (see below), whose sum is σ = 13209631783920. Its totient is φ = 1849258494720.

The previous prime is 5127657696079. The next prime is 5127657696311. The reversal of 5127657696200 is 26967567215.

It is a Smith number, since the sum of its digits (56) 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 35 ways as a sum of consecutive naturals, for example, 310622 + ... + 3217421.

It is an arithmetic number, because the mean of its divisors is an integer number (91733554055).

Almost surely, 2^{5127657696200} is an apocalyptic number.

5127657696200 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 5127657696200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6604815891960).

5127657696200 is an abundant number, since it is smaller than the sum of its proper divisors (8081974087720).

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

5127657696200 is a wasteful number, since it uses less digits than its factorization.

5127657696200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3528128 (or 3528106 counting only the distinct ones).

The product of its (nonzero) digits is 9525600, while the sum is 56.

The spelling of 5127657696200 in words is "five trillion, one hundred twenty-seven billion, six hundred fifty-seven million, six hundred ninety-six thousand, two hundred".