5207194105344 has 720 divisors, whose sum is σ = 19209658628160. Its totient is φ = 1342698577920.

The previous prime is 5207194105327. The next prime is 5207194105361. The reversal of 5207194105344 is 4435014917025.

5207194105344 is a `hidden beast` number, since 5 + 2 + 0 + 71 + 9 + 41 + 0 + 534 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (5207194105327) and next prime (5207194105361).

It is a super-2 number, since 2×5207194105344² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 5207194105344.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 345228427 + ... + 345243509.

It is an arithmetic number, because the mean of its divisors is an integer number (26680081428).

Almost surely, 2^{5207194105344} 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 5207194105344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9604829314080).

5207194105344 is an abundant number, since it is smaller than the sum of its proper divisors (14002464522816).

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

5207194105344 is a wasteful number, since it uses less digits than its factorization.

5207194105344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15271 (or 15245 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 5207194105344 in words is "five trillion, two hundred seven billion, one hundred ninety-four million, one hundred five thousand, three hundred forty-four".