5193268743600 has 960 divisors, whose sum is σ = 22493488896000. Its totient is φ = 1135404103680.

The previous prime is 5193268743583. The next prime is 5193268743629. The reversal of 5193268743600 is 63478623915.

5193268743600 is a `hidden beast` number, since 5 + 1 + 9 + 3 + 26 + 8 + 7 + 4 + 3 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 85170724 + ... + 85231676.

It is an arithmetic number, because the mean of its divisors is an integer number (23430717600).

It is a 1-persistent number, because it is pandigital, but 2⋅5193268743600 = 10386537487200 is not.

Almost surely, 2^{5193268743600} is an apocalyptic number.

5193268743600 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 5193268743600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11246744448000).

5193268743600 is an abundant number, since it is smaller than the sum of its proper divisors (17300220152400).

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

5193268743600 is a wasteful number, since it uses less digits than its factorization.

5193268743600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61024 (or 60993 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 5193268743600 in words is "five trillion, one hundred ninety-three billion, two hundred sixty-eight million, seven hundred forty-three thousand, six hundred".