5191289325600 has 576 divisors, whose sum is σ = 19692269614080. Its totient is φ = 1163227852800.

The previous prime is 5191289325587. The next prime is 5191289325631. The reversal of 5191289325600 is 65239821915.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2111137171 + ... + 2111139629.

It is an arithmetic number, because the mean of its divisors is an integer number (34187968080).

Almost surely, 2^{5191289325600} is an apocalyptic number.

5191289325600 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 5191289325600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9846134807040).

5191289325600 is an abundant number, since it is smaller than the sum of its proper divisors (14500980288480).

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

5191289325600 is a wasteful number, since it uses less digits than its factorization.

5191289325600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4913 (or 4900 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 51.

The spelling of 5191289325600 in words is "five trillion, one hundred ninety-one billion, two hundred eighty-nine million, three hundred twenty-five thousand, six hundred".