5191329806208 has 1024 divisors, whose sum is σ = 19389946060800. Its totient is φ = 1330880937984.

The previous prime is 5191329806171. The next prime is 5191329806209. The reversal of 5191329806208 is 8026089231915.

5191329806208 is a `hidden beast` number, since 5 + 1 + 9 + 1 + 3 + 2 + 9 + 8 + 0 + 620 + 8 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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 (5191329806209) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2320664866 + ... + 2320667102.

It is an arithmetic number, because the mean of its divisors is an integer number (18935494200).

Almost surely, 2^{5191329806208} 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 5191329806208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9694973030400).

5191329806208 is an abundant number, since it is smaller than the sum of its proper divisors (14198616254592).

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

5191329806208 is a wasteful number, since it uses less digits than its factorization.

5191329806208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2484 (or 2466 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The spelling of 5191329806208 in words is "five trillion, one hundred ninety-one billion, three hundred twenty-nine million, eight hundred six thousand, two hundred eight".