5125616273600 has 168 divisors, whose sum is σ = 12654640832400. Its totient is φ = 2043360563200.

The previous prime is 5125616273563. The next prime is 5125616273611. The reversal of 5125616273600 is 63726165215.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 823918490 + ... + 823924710.

It is an arithmetic number, because the mean of its divisors is an integer number (75325243050).

Almost surely, 2^{5125616273600} is an apocalyptic number.

5125616273600 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 5125616273600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6327320416200).

5125616273600 is an abundant number, since it is smaller than the sum of its proper divisors (7529024558800).

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

5125616273600 is a wasteful number, since it uses less digits than its factorization.

5125616273600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7891 (or 7876 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 44.

The spelling of 5125616273600 in words is "five trillion, one hundred twenty-five billion, six hundred sixteen million, two hundred seventy-three thousand, six hundred".