5193773813760 has 832 divisors, whose sum is σ = 19430677094400. Its totient is φ = 1159985627136.

The previous prime is 5193773813737. The next prime is 5193773813797. The reversal of 5193773813760 is 673183773915.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 5193773813694 and 5193773813703.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4998819321 + ... + 4998820359.

It is an arithmetic number, because the mean of its divisors is an integer number (23354179200).

Almost surely, 2^{5193773813760} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5193773813760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9715338547200).

5193773813760 is an abundant number, since it is smaller than the sum of its proper divisors (14236903280640).

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

5193773813760 is a wasteful number, since it uses less digits than its factorization.

5193773813760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1334 (or 1312 counting only the distinct ones).

The product of its (nonzero) digits is 20003760, while the sum is 60.

The spelling of 5193773813760 in words is "five trillion, one hundred ninety-three billion, seven hundred seventy-three million, eight hundred thirteen thousand, seven hundred sixty".