5310805968 has 120 divisors (see below), whose sum is σ = 16209240320. Its totient is φ = 1613364480.

The previous prime is 5310805949. The next prime is 5310805993. The reversal of 5310805968 is 8695080135.

5310805968 is a `hidden beast` number, since 53 + 1 + 0 + 8 + 0 + 596 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 129933 + ... + 165843.

Almost surely, 2^5310805968 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 5310805968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8104620160).

5310805968 is an abundant number, since it is smaller than the sum of its proper divisors (10898434352).

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

5310805968 is a wasteful number, since it uses less digits than its factorization.

5310805968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36017 (or 36008 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The square root of 5310805968 is about 72875.2767953577. The cubic root of 5310805968 is about 1744.6975245491.

The spelling of 5310805968 in words is "five billion, three hundred ten million, eight hundred five thousand, nine hundred sixty-eight".