5417046967296 has 176 divisors, whose sum is σ = 14660170930944. Its totient is φ = 1778090582016.

The previous prime is 5417046967279. The next prime is 5417046967313. The reversal of 5417046967296 is 6927696407145.

It is an interprime number because it is at equal distance from previous prime (5417046967279) and next prime (5417046967313).

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 15 ways as a sum of consecutive naturals, for example, 78243031 + ... + 78312233.

It is an arithmetic number, because the mean of its divisors is an integer number (83296425744).

Almost surely, 2^{5417046967296} 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 5417046967296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7330085465472).

5417046967296 is an abundant number, since it is smaller than the sum of its proper divisors (9243123963648).

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

5417046967296 is a wasteful number, since it uses less digits than its factorization.

5417046967296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69616 (or 69598 counting only the distinct ones).

The product of its (nonzero) digits is 137168640, while the sum is 66.

The spelling of 5417046967296 in words is "five trillion, four hundred seventeen billion, forty-six million, nine hundred sixty-seven thousand, two hundred ninety-six".