5194317518208 has 1536 divisors, whose sum is σ = 20198534952960. Its totient is φ = 1291235033088.

The previous prime is 5194317518167. The next prime is 5194317518209. The reversal of 5194317518208 is 8028157134915.

5194317518208 is a `hidden beast` number, since 5 + 1 + 94 + 3 + 17 + 518 + 20 + 8 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5194317518209) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4752348510 + ... + 4752349602.

It is an arithmetic number, because the mean of its divisors is an integer number (13150087860).

Almost surely, 2^{5194317518208} 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 5194317518208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10099267476480).

5194317518208 is an abundant number, since it is smaller than the sum of its proper divisors (15004217434752).

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

5194317518208 is a wasteful number, since it uses less digits than its factorization.

5194317518208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1238 (or 1214 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 54.

The spelling of 5194317518208 in words is "five trillion, one hundred ninety-four billion, three hundred seventeen million, five hundred eighteen thousand, two hundred eight".