5291330583168 has 896 divisors, whose sum is σ = 19029322368000. Its totient is φ = 1462766376960.

The previous prime is 5291330583127. The next prime is 5291330583169. The reversal of 5291330583168 is 8613850331925.

5291330583168 is a `hidden beast` number, since 5 + 2 + 9 + 13 + 30 + 583 + 16 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (896).

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

It is not an unprimeable number, because it can be changed into a prime (5291330583169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 992183830 + ... + 992189162.

It is an arithmetic number, because the mean of its divisors is an integer number (21238083000).

Almost surely, 2^{5291330583168} 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 5291330583168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9514661184000).

5291330583168 is an abundant number, since it is smaller than the sum of its proper divisors (13737991784832).

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

5291330583168 is an frugal number, since it uses more digits than its factorization.

5291330583168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5417 (or 5376 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 5291330583168 in words is "five trillion, two hundred ninety-one billion, three hundred thirty million, five hundred eighty-three thousand, one hundred sixty-eight".