5756803327968 has 288 divisors, whose sum is σ = 19017047040768. Its totient is φ = 1492605818880.

The previous prime is 5756803327967. The next prime is 5756803327969. The reversal of 5756803327968 is 8697233086575.

It is an interprime number because it is at equal distance from previous prime (5756803327967) and next prime (5756803327969).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5756803327967) 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 47 ways as a sum of consecutive naturals, for example, 45715780 + ... + 45841532.

It is an arithmetic number, because the mean of its divisors is an integer number (66031413336).

Almost surely, 2^{5756803327968} 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 5756803327968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9508523520384).

5756803327968 is an abundant number, since it is smaller than the sum of its proper divisors (13260243712800).

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

5756803327968 is a wasteful number, since it uses less digits than its factorization.

5756803327968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126358 (or 126339 counting only the distinct ones).

The product of its (nonzero) digits is 457228800, while the sum is 69.

The spelling of 5756803327968 in words is "five trillion, seven hundred fifty-six billion, eight hundred three million, three hundred twenty-seven thousand, nine hundred sixty-eight".