5711824160 has 144 divisors (see below), whose sum is σ = 16063318656. Its totient is φ = 1912684032.

The previous prime is 5711824159. The next prime is 5711824189. The reversal of 5711824160 is 614281175.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 5711824160.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 328649 + ... + 345591.

It is an arithmetic number, because the mean of its divisors is an integer number (111550824).

Almost surely, 2^5711824160 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 5711824160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8031659328).

5711824160 is an abundant number, since it is smaller than the sum of its proper divisors (10351494496).

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

5711824160 is a wasteful number, since it uses less digits than its factorization.

5711824160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17015 (or 17000 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 35.

The square root of 5711824160 is about 75576.6111968511. The cubic root of 5711824160 is about 1787.5503209137.

The spelling of 5711824160 in words is "five billion, seven hundred eleven million, eight hundred twenty-four thousand, one hundred sixty".